Deck 14: Trigonometry With Any Angle

Question 1

Find the value of cos 324.7° rounded to four significant digits.

A) 0.8161
B) 1.2161
C) -0.5441
D) 0.5441
E) -0.8161

Answer 1

0.8161

Question 2

Find the value of cos 304° rounded to four significant digits.

A) 0.2796
B) 0.7592
C) 0.5592
D) -1.0000
E) 0.1796

Answer 2

0.5592

Question 3

Graph the equation for values of x between 0° and 360° in multiples of 30°. y = 5 sin x

A)
B)
C)
D)
E)

Answer 3

Question 4

Find the value of tan 402.1° rounded to four significant digits.

A) -1.3554
B) 0.8036
C) 1.3554
D) 0.9036
E) -0.9036

Question 5

The maximum voltage in a simple generator is V. The changing voltage v as the coil rotates is given by v = V sin x. Graph this equation in multiples of 30° for one complete revolution of the coil for the given value of V. V = 42 Volts

A)
B)
C)
D)
E)

Question 6

Find the value of sin 158.8° rounded to four significant digits.

A) 0.3616
B) 0.5616
C) 0.1808
D) -0.3616
E) -0.1808

Question 7

Find the value of tan 174.6° rounded to four significant digits.

A) 0.2055
B) 0.0945
C) -0.0473
D) -0.0945
E) 0.0473

Question 8

Graph the equation for values of x between 0° and 360° in multiples of 10°. y = 5 cos 2x

A)
B)
C)
D)
E)

Question 9

Find the value of tan 243.6° rounded to four significant digits.

A) 2.014
B) -3.357
C) 3.357
D) -2.014
E) 1.614

Question 10

Find the value of sin 320° rounded to four significant digits.

A) -0.3214
B) -0.4428
C) 0
D) -0.6428
E) -0.4214

Question 11

Find the value of tan 125.1° rounded to four significant digits.

A) -1.223
B) 1.423
C) -0.711
D) -1.423
E) 0.711

Question 12

A radar unit operates at a wavelength of 4.2 cm. Radar waves travel at the speed of light, which is $3.0 \times 10 ^ { 8 }$ . What is the frequency of the radar waves?

A) 7.1 $\times 10 ^ { 6 }$ Hz
B) 7.1 $\times 10 ^ { 9 }$ Hz
C) 6.7 $\times 10 ^ { 9 }$ MHz
D) 7.1 $\times 10 ^ { 9 }$ MHz
E) 6.7 $\times 10 ^ { 9 }$ Hz

Question 13

Find the value of sin 301.8° rounded to four significant digits.

A) -1.1199
B) -0.4449
C) -1.1749
D) 0
E) -0.8499

Question 14

Graph the equation for values of x between 0° and 360° in multiples of 10°. y = 2 sin 4x

A)
B)
C)
D)
E)

Question 15

Find the value of cos 315° rounded to four significant digits.

A) 0.7071
B) 0.2536
C) 0.4071
D) -0.5000
E) 0.3536

Question 16

Find the value of sin 140° rounded to four significant digits.

A) 0.6428
B) -1.0000
C) 0.2214
D) 0.3214
E) 0.2428

Question 17

Find the value of cos 170.5° rounded to four significant digits.

A) 0.5000
B) 0.9863
C) -0.9863
D) -0.4931
E) -0.8863

Question 18

Find the period of the wave whose frequency is 6.2 MHz.

A) 0.15 s
B) 0.16 ms
C) 0.15 ms
D) 0.16 μs
E) 0.15 μs

Question 19

Find the period of the wave whose frequency is 4.8 kHz.

A) 0.26 μs
B) 0.21 ms
C) 0.26 ms
D) 0.26 s
E) 0.21 s

Question 20

Graph the equation for values of x between 0° and 360° in multiples of 30°. y = 5 cos x

A)
B)
C)
D)
E)

Question 21

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \sin \frac { 5 } { 2 } x$

A) P = 90.0°, A = 2.5
B) P = 900°, A = 4
C) P = 144°, A = 4
D) P = 900°, A = 4
E) P = 144°, A = 4

Question 22

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 4 sin (3x + 60°)

A) P = 90°, A = 3, S = 15°
B) P = 90°, A = 3, S = -15°
C) P = 120°, A = 4, S = 20°
D) P = 90°, A = 3, S = 15°
E) P = $120 ^ { \circ }$ , A = 4, S = -20°

Question 23

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 3 \cos \left( \frac { 3 } { 4 } x - 90 ^ { \circ } \right)$

A) P = 480°, A = 3, S = -120°
B) P = 480°, A = 3, S = 120°
C) P = 120°, A = 0.75, S = -30°
D) P = 120°, A = 0.75, S = -30°
E) P = 480°, A = 3, S = -120°

Question 24

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 6 sin (4x - 90°)

A) P = 60°, A = 4, S = -15°
B) P = 60°, A = 4, S = -15°
C) P = 90°, A = 6, S = -22.5°
D) P = 90°, A = 6, S = 22.5°
E) P = 90°, A = 6, S = -22.5°

Question 25

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 5 sin (x - 70°)

A) P = 360°, A = 5, S = 70°
B) P = 360°, A = 5, S = -70°
C) P = 72°, A = 1, S = -14°
D) P = 72°, A = 1, S = 14°
E) P = 360°, A = 5, S = -70°

Question 26

Find the period P and amplitude A and graph at least two periods of the equation. y = 4 sin 2x

A) P = 90° , A = 2
B)  P = 180° , A = 4
C) P = 180° , A = 4
D) P = 90° , A = 2
E) P = 180°, A = 4

Question 27

Find the period P and amplitude A and graph at least two periods of the equation. $y = 3 \sin \frac { 1 } { 3 } x$

A) P = 1080°, A = 3
B) P = 1080°, A = 3
C) P = 120°, A = 0.33
D) P = 1080°, A = 3
E) P = 120°, A = 0.33

Question 28

Find the period P and amplitude A and graph at least two periods of the equation. $y = 3.4 \cos \frac { 3 } { 5 } x$

A) P = 216°, A = 3.4
B) P = 600°, A = 3.4
C) P = 216°, A = 3.4
D) P = 600°, A = 3.4
E) P = 105.9°, A = 0.60

Question 29

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 5 cos (x - 15°)

A) P = 360°, A = 5, S = -15°
B) P = 72°, A = 1, S = 15°
C) P = 72°, A = 1, S = -15°
D) P = 360°, A = 5, S = 15°
E) P = 360°, A = 5, S = -15°

Question 30

Find the period P and amplitude A and graph at least two periods of the equation. y = 7 cos 4x

A) P = 90.0° , A = 7
B) P = 90.0° , A = 7
C) P = 45.0° , A = 4
D) P = 90.0° , A = 7
E) P = 45.0° , A = 4

Question 31

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 8 \cos \left( \frac { 1 } { 4 } x + 210 ^ { \circ } \right)$

A) P = 45°, A = 0.25, S = 26°
B) P = 1,440°, A = 8, S = -840°
C) P = 1,440°, A = 8, S = 840°
D) P = 45°, A = 0.25, S = 26°
E) P = 45°, A = 0.25, S = 26°

Question 32

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 1 } { 2 } x$

A) P = 720°, A = 4
B) P = 90°, A = 0.5
C) P = 720°, A = 4
D) P = 720°, A = 4
E) P = 90°, A = 0.5

Question 33

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation.   $y = 5 \sin \left( \frac { 1 } { 2 } x + 120 ^ { \circ } \right)$

A) P = 720°, A = 5, S = 240°
B) P = 720°, A = 5, S = -240°
C) P = 72°, A = 0.5, S = 24°
D) P = 72°, A = 0.5, S = 24°
E) P = 72°, A = 0.5, S = 24°

Question 34

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation.   $y = 15 \sin \left( \frac { 2 } { 3 } x - 210 ^ { \circ } \right)$

A) P = 540°, A = 15, S = -315°
B) P = 24°, A = 0.67, S = -14°
C) P = 24°, A = 0.67, S = -14°
D) P = 540°, A = 15, S = 315°
E) P = 540°, A = 15, S = -315°

Question 35

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 4 } { 3 } x$

A) P = 480°, A = 4
B) P = 90.0°, A = 1.33
C) P = 270°, A = 4
D) P = 270°, A = 4
E) P = 480°, A = 4

Question 36

Find the period P and amplitude A and graph at least two periods of the equation. y = 11 sin 10x

A) P = 30°, A = 10
B) P = 36°, A = 11
C) P = 30°, A = 10
D) P = 36°, A = 11
E) P = 36°, A = 11

Question 37

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 11 cos (5x + 150°)

A) P = 33°, A = 5, S = 14°
B) P = 72°, A = 11, S = 30°
C) P = 33°, A = 5 S = 14°
D) P = 72°, A = 11, S = -30°
E) P = 72°, A = 11, S = 30°

Question 38

Find the period P and amplitude A and graph at least two periods of the equation. y = 12 cos 6x

A) P = 60° , A = 12
B) P = 60°, A = 12
C) P = 30° , A = 6
D) P = 30° , A = 6
E) P = 60° , A = 12

Question 39

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 3 cos (3x + 60°)

A) P = 120°, A = 2, S = 20°
B) P = 180°, A = 3, S = -30°
C) P = 120°, A = 2, S = 20°
D) P = 180°, A = 3, S = 30°
E) P = 120°, A = 2, S = 20°

Question 40

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4.8 \sin \frac { 2 } { 3 } x$

A) P = 240.0°, A = 4.80
B) P = 240.0°, A = 4.80
C) P = 75.0°, A = 0.67
D) P = 540°, A = 4.80
E) P = 540°, A = 4.80

Question 41

A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the illustration.) The present slope of the lot is 10.5°. The contractor needs a level lot that is 106 ft deep. To control erosion, the back of the lot must be cut to a slope of 23.2°. How far from the street, measured along the present slope, will the excavation extend? Round your answer to the nearest foot.

A) 184 ft
B) 190 ft
C) 196 ft
D) 168 ft
E) 210 ft

Question 42

Solve the triangle using the labels as shown in illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 53.0$ °, $\angle C = 48.1$ °, a = 26.5 m

A) b = 32.6 m, c = 26.5 m, $\angle B = 78.9$ °
B) b = 32.6 m, c = 24.7 m, $\angle B = 78.9$ °
C) b = 24.7 m, c = 32.6 m, $\angle B = 78.9$ °
D) b = 32.6 m, c = 24.7 m, $\angle B = 48.1$ °
E) b = 24.7 m, c = 32.6 m, $\angle B = 48.1$ °

Question 43

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 19.6$ °, $\angle B = 37.1$ °, c = 41.7 cm

A) a = 30.1 cm, b = 16.7 cm, $\angle C = 123.3$ °
B) a = 16.7 cm, b = 30.1 cm, $\angle C = 123.3$ °
C) a = 30.1 cm, b = 16.7 cm, $\angle C = 19.6$ °
D) a = 16.7 cm, b = 30.1 cm, $\angle C = 19.6$ °
E) a = 16.7 cm, b = 30.1 cm, $\angle C = 37.1$ °

Question 44

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 68.0$ °, a = 23.5 m, b = 18.0 m

A) c = 23.3 m, $\angle B = 45.2$ °, $\angle C = 66.8$ °
B) c = 23.3 m, $\angle B = 45.2$ °, $\angle C = 67.5$ °
C) c = 23.5 m, $\angle B = 44.5$ °, $\angle C = 67.5$ °
D) c = 23.3 m, $\angle B = 44.5$ °, $\angle C = 67.5$ °
E) c = 23.5 m, $\angle B = 45.2$ °, $\angle C = 66.8$ °

Question 45

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle B = 74.6$ °, $\angle A = 63.0$ °, b = 302 ft

A) a = 211 ft, c = 279 ft, $\angle C = 42.4$ °
B) a = 279 ft, c = 211 ft, $\angle C = 42.4$ °
C) a = 279 ft, c = 211 ft, $\angle C = 63.0$ °
D) a = 279 ft, c = 302 ft, $\angle C = 42.4$ °
E) a = 211 ft, c = 279 ft, $\angle C = 63.0$ °

Question 46

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle B = 21.7$ °, $\angle C = 139.1$ °, a = 355 m

A) b = 399 m, c = 707 m, $\angle A = 21.7$ °
B) b = 399 m, c = 707 m, $\angle A = 139.1$ °
C) b = 399 m, c = 707 m, $\angle A = 19.2$ °
D) b = 707 m, c = 399 m, $\angle A = 19.2$ °
E) b = 707 m, c = 399 m, $\angle A = 139.1$ °

Question 47

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 56.4$ °, a = 38.3 mi, c = 28.5 mi

A) b = 38.3 mi, $\angle B = 54.9$ °, $\angle C = 68.7$ °
B) b = 45.8 mi, $\angle B = 54.9$ °, $\angle C = 68.7$ °
C) b = 38.3 mi, $\angle B = 85.3$ °, $\angle C = 38.3$ °
D) b = 45.8 mi, $\angle B = 38.3$ °, $\angle C = 56.4$ °
E) b = 45.8 mi, $\angle B = 85.3$ °, $\angle C = 38.3$ °

Question 48

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle B = 108.0$ °, c = 10.2 km, b = 31.0 km

A) a = 10.2 km, $\angle A = 18.2$ °, $\angle C = 53.8$ °
B) a = 31.0 km, $\angle A = 53.8$ °, $\angle C = 18.2$ °
C) a = 26.3 km, $\angle A = 53.8$ °, $\angle C = 18.2$ °
D) a = 31.0 km, $\angle A = 18.2$ °, $\angle C = 53.8$ °
E) a = 26.3 km, $\angle A = 18.2$ °, $\angle C = 53.8$ °

Question 49

Find the lengths of rafters AC and BC of the roof shown in the Illustration.

A) AC = 29.2 ft, BC = 19.7 ft
B) AC = 25.3 ft, BC = 25.4 ft
C) AC = 29.2 ft, BC = 19 ft
D) AC = 25.3 ft, BC = 19.0 ft
E) AC = 25.3 ft, BC = 19.7 ft

Question 50

A weather balloon is sighted from points A and B, which are 5.00 km apart on level ground. The angle of elevation of the balloon from point A is 28.0°. Its angle of elevation from point B is 46.0°.
a. Find the height (in m) of the balloon if it is between A and B.
b. Find the height (in m) if B is between point A and the weather balloon. Round your answers to the nearest meter.

A) a) $1,757$ m b) $5,472$ m
B) a) $5,472$ m b) $1,757$ m
C) a) $1,674$ m b) $5,472$ m
D) a) $1,674$ m b) $5,464$ m
E) a) $1,757$ m b) $5,464$ m

Question 51

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 42.0$ °, $\angle B = 48.1$ °, a = 49.7 m

A) b = 74.3 m, c = 55.3 m, $\angle C = 42.0$ °
B) b = 55.3 m, c = 74.3 m, $\angle C = 42.0$ °
C) b = 49.7 m, c = 55.3 m, $\angle C = 89.9$ °
D) b = 74.3 m, c = 55.3 m, $\angle C = 89.9$ °
E) b = 55.3 m, c = 74.3 m, $\angle C = 89.9$ °

Question 52

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle B = 40.8$ °, $\angle C = 61.3$ °, c = 22.7 km

A) a = 25.3 km, b = 16.9 km, $\angle A = 77.9$ °
B) a = 25.3 km, b = 16.9 km, $\angle A = 40.8$ °
C) a = 16.9 km, b = 25.3 km, $\angle A = 61.3$ °
D) a = 16.9 km, b = 25.3 km, $\angle A = 77.9$ °
E) a = 22.7 km, b = 16.9 km, $\angle A = 77.9$ °

Question 53

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 13.5$ °, a = 207 ft, b = 188 ft

A) c = 385 ft, $\angle B = 49.3$ °, $\angle C = 117.2$ °
B) c = 207 ft, $\angle B = 49.3$ °, $\angle C = 117.2$ °
C) c = 385 ft, $\angle B = 154.3$ °, $\angle C = 12.2$ °
D) c = 385 ft, $\angle B = 12.2$ °, $\angle C = 154.3$ °
E) c = 207 ft, $\angle B = 12.2$ °, $\angle C = 154.3$ °

Question 54

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 32.0°, a = 44.4 m, b = 32.3 m

A) B = 22.7°, C = 125.3°, c = 68.4 m
B) B = 22.7°, C = 125.3°, c = 49.7 m
C) B = 125.3°, C = 22.7°, c = 49.7 m
D) B = 125.3°, C = 22.7°, c = 68.4 m
E) No solution.

Question 55

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 69.5$ °, $\angle B = 75.6$ °, b = 234 ft

A) a = 138 ft, c = 226 ft, $\angle C = 69.5$ °
B) a = 226 ft, c = 138 ft, $\angle C = 75.6$ °
C) a = 226 ft, c = 138 ft, $\angle C = 34.9$ °
D) a = 138 ft, c = 226 ft, $\angle C = 34.9$ °
E) a = 138 ft, c = 226 ft, $\angle C = 75.6$ °

Question 56

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 119.0$ °, a = 5,640 m, b = 4,770 m

A) c = 5,640 m, $\angle B = 47.7$ °, $\angle C = 13.3$ °
B) c = 5,640 m, $\angle B = 30.6$ °, $\angle C = 30.4$ °
C) c = 4,770 m, $\angle B = 47.7$ °, $\angle C = 13.3$ °
D) c = 1,480 m, $\angle B = 47.7$ °, $\angle C = 13.3$ °
E) c = 1,480 m, $\angle B = 30.6$ °, $\angle C = 30.4$ °

Question 57

Solve each triangle using the labels as shown in the Illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 64.0$ °, a = 133 mi, c = 119 mi

A) b = 119 mi, $\angle B = 62.5$ °, $\angle C = 53.5$ °
B) b = 131 mi, $\angle B = 62.5$ °, $\angle C = 53.5$ °
C) b = 119 mi, $\angle B = 42.6$ °, $\angle C = 73.4$ °
D) b = 131 mi, $\angle B = 62.5$ °, $\angle C = 73.4$ °
E) b = 131 mi, $\angle B = 42.6$ °, $\angle C = 73.4$ °

Question 58

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle C = 48.2$ °, $\angle B = 54.9$ °, b = 5,910 m

A) a = 7,040 m, c = 5,390 m, $\angle A = 76.9$ °
B) a = 7,040 m, c = 5,390 m, $\angle A = 48.2$ °
C) a = 5,390 m, c = 7,040 m, $\angle A = 48.2$ °
D) a = 5,390 m, c = 7,040 m, $\angle A = 76.9$ °
E) a = 5,910 m, c = 5,390 m, $\angle A = 76.9$ °

Question 59

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $$\angle B = 62.9$$ °, b = 135 m, c = 118 m

A) a = 118 m, $\angle A = 37.7$ °, $\angle C = 79.4$ °
B) a = 139 m, $\angle A = 37.7$ °, $\angle C = 51.1$ °
C) a = 139 m, $\angle A = 66.0$ °, $\angle C = 51.1$ °
D) a = 118 m, $\angle A = 66.0$ °, $\angle C = 51.1$ °
E) a = 139 m, $\angle A = 37.7$ °, $\angle C = 79.4$ °

Question 60

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $$\angle C = 53.3$$ °, c = 127 cm, b = 147 cm

A) a = 135 cm, $\angle A = 58.6$ ° , $\angle B = 87.3$ °
B) a = 135 cm, $\angle A = 58.6$ °, $\angle B = 68.1$ °
C) a = 135 cm, $\angle A = 39.4$ °, $\angle B = 87.3$ °
D) a = 127 cm, $\angle A = 58.6$ °, $\angle B = 68.1$ °
E) a = 127 cm, $\angle A = 39.4$ °, $\angle B = 87.3$ °

Question 61

The average distance from the sun to earth is $1.5 \times 10 ^ { 8 }$ and from the sun to Venus is $1.1 \times 10 ^ { 8 }$ . Find the distance between earth and Venus when the angle between earth and the sun and earth and Venus is 24.9°. Do not use rounded answers during calculations. Round the final answer to two significant digits.

A) $2.3 \times 10 ^ { 8 }$ km
B) $0.46 \times 10 ^ { 8 }$ km
C) $1.4 \times 10 ^ { 8 }$ km
D) $0.23 \times 10 ^ { 8 }$ km
E) No solution.

Question 62

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). C = 8.3°, c = 84.7 mi, b = 61.9 mi

A) B = 6.1°, A = 165.6°, a = 145 mi
B) B = 63.9°, A = 107.8°, a = 106 mi
C) B = 6.1°, A = 165.6°, a = 106 mi
D) B = 107.8°, A = 63.9°, a = 106 mi
E) No solution.

Question 63

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). B = 8.0°, b = 459 m, c = 853 m

A) C = 165.0°, A = 7.0°, a = 401 m
B) C = 15.0°, A = 157.0°, a = 1,290 m
C) C = 165.0°, A = 157.0°, a = 846 m
D) C = 15.0°, A = 7.0°, a = 846 m
E) No solution.

Question 64

The owner of triangular lot wishes to fence it along the lot lines. Lot markers at A and B have been located, but the lot marker at C cannot be found. The owner's attorney gives the following information by phone: AB = 355 ft, BC = 295 ft, A = 35.0°. What is the length of AC? Do not use rounded answers during calculations. Round your final answer to three significant digits.

A) AC = 77.3 ft
B) AC = 291 ft
C) AC = 504 ft
D) AC = 173 ft
E) No solution.

Question 65

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 110.2°, a = 1,420 ft, b = 1,130 ft

A) B = 21.5°, C = 48.3°, c = 441 ft
B) B = 48.3°, C = 21.5°, c = 441 ft
C) B = 48.3°, C = 21.5°, c = 554 ft
D) B = 21.5°, C = 48.3°, c = 554 ft
E) No solution.

Question 66

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 78.5°, b = 45.6 m, a = 14.1 m

A) B = 38.0°, C = 63.5°, c = 11.3 m
B) B = 63.5°, C = 38.0°, c = 22.7 m
C) B = 38.0°, C = 58.4°, c = 22.7 m
D) B = 43.1°, C = 58.4°, c = 32.6 m
E) No solution.

Question 67

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 35.2°, a = 378 m, c = 408 m

A) C = 38.5°, B = 3.3°, b = 333 m
B) C = 106.3°, B = 38.5°, b = 333 m
C) C = 141.5°, B = 3.3°, b = 37.5 m
D) C = 38.5°, B = 106.3°, b = 629 m
E) No solution.

Question 68

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 31.0°, a = 4,820 mi, c = 3,650 mi

A) C = 14.8°, B = 134.2°, b = 5,730 mi
B) C = 23.0°, B = 126.0°, b = 7,570 mi
C) C = 126.0°, B = 23.0°, b = 7,570 mi
D) C = 23.0°, B = 126.0°, b = 5,730 mi
E) No solution.

Question 69

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). B = 41.9°, b = 143 cm, c = 281 cm

A) C = 43.0°, A = 95.1°, a = 120 cm
B) C = 43.0°, A = 95.1°, a = 124 cm
C) C = 43.0°, A = 95.1°, a = 116 cm
D) C = 95.1°, A = 43.0°, a = 120 cm
E) No solution.

Question 70

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). B = 105.0°, b = 33.0 mi, a = 23.0 mi

A) A = 42.3°, C = 32.7°, c = 18.4 mi
B) A = 42.3°, C = 32.7°, c = 12.9 mi
C) A = 32.7°, C = 42.3°, c = 18.4 mi
D) A = 32.7°, C = 42.3°, c = 12.9 mi
E) No solution.

Question 71

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 47.5°, b = 303 m, a = 265 m

A) B = 57.5°, C = 75.0°, c = 347 m
B) B = 75.0°, C = 57.5°, c = 347 m
C) B = 122.5°, C = 10.0°, c = 62.2 m
D) B = 122.5°, C = 10.0°, c = 397 m
E) No solution.

Question 72

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). C = 56.0°, c = 151 m, b = 187 m

A) B = 96.0°, A = 28.0°, a = 198 cm
B) B = 52.0°, A = 72.0°, a = 129 cm
C) B = 28.0°, A = 96.0°, a = 69.0 cm
D) B = 52.0°, A = 96.0°, a = 198.0 cm
E) No solution.

Question 73

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). C = 73.5°, a = 244 cm, c = 234 cm

A) A = 91.2°, B = 15.3°, b = 64.6 cm
B) A = 91.2°, B = 15.3°, b = 77 cm
C) A = 15.3°, B = 88.8°, b = 77 cm
D) A = 88.8°, B = 17.7°, b = 74 cm
E) No solution.

Question 74

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). C = 47.6°, a = 82.8 cm, c = 90.9 cm

A) A = 42.3°, B = 90.1°, b = 123 cm
B) A = 90.1°, B = 42.3°, b = 123 cm
C) A = 90.1°, B = 42.3°, b = 112 cm
D) A = 42.3°, B = 90.1°, b = 112 cm
E) No solution.

Question 75

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). B = 55.0°, b = 4,120 ft, c = 4,540 ft

A) C = 60.5°, A = 64.5°, a = 2,610 ft
B) C = 64.5°, A = 9.5°, a = 2,610 ft
C) C = 115.5°, A = 9.5°, a = 831 ft
D) C = 64.5°, A = 60.5°, a = 4,380 ft
E) No solution.

Question 76

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 37.6°, a = 1,590 ft, b = 1,830 ft

A) B = 97.8°, C = 44.6°, c = 2,580 ft
B) B = 7.0°, C = 135.4°, c = 2,970 ft
C) B = 44.6°, C = 97.8°, c = 2,580 ft
D) B = 135.4°, C = 7.0°, c = 318 ft
E) No solution.