Deck 8: Applications of Trigonometry

Question 1

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
a, b, and C

A) Yes
B) No

Answer 1

B

Question 2

Determine the number of triangles ABC possible with the given parts.

Answer 2

B

Question 3

Determine the number of triangles ABC possible with the given parts.

Answer 3

D

Question 4

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Question 5

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
B, a, and c

A) Yes
B) No

Question 6

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
C, c, and A

A) Yes
B) No

Question 7

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
a, b, and c

A) Yes
B) No

Question 8

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
A, c, and a

A) Yes
B) No

Question 9

Determine the number of triangles ABC possible with the given parts.

Question 10

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
b, A, and B

A) Yes
B) No

Question 11

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Question 12

Determine the number of triangles ABC possible with the given parts.

Question 13

Determine the number of triangles ABC possible with the given parts.

Question 14

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Question 15

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
a, c, and C

A) Yes
B) No

Question 16

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
a, A, and C

A) Yes
B) No

Question 17

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
b, C, and B

A) Yes
B) No

Question 18

Determine the number of triangles ABC possible with the given parts.

Question 19

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
b, B, and c

A) Yes
B) No

Question 20

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Question 21

Find the missing parts of the triangle.

Question 22

Find the missing parts of the triangle.

Question 23

Solve the problem.

Question 24

Find the missing parts of the triangle.

Question 25

Find the missing parts of the triangle.

Question 26

Solve the problem.

Question 27

Find the missing parts of the triangle.

Question 28

Find the missing parts of the triangle.

Question 29

Find the missing parts of the triangle.

Question 30

Find the missing parts of the triangle.

Question 31

Find the missing parts of the triangle.

Question 32

Find the missing parts of the triangle.

Question 33

Find the missing parts of the triangle.

Question 34

Solve the problem.

Question 35

Find the missing parts of the triangle.

Question 36

Find the missing parts of the triangle.

Question 37

Find the missing parts of the triangle.

Question 38

Find the missing parts of the triangle.

Question 39

Find the missing parts of the triangle.

Question 40

Find the missing parts of the triangle.

Question 41

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.

Question 42

Find the indicated angle or side. Give an exact answer.

Question 43

Solve the problem.

Question 44

Find the indicated angle or side. Give an exact answer.

Question 45

Find the indicated angle or side. Give an exact answer.

Question 46

Solve the problem.

Question 47

Assume a triangle ABC has standard labeling. Determine whether SAA, ASA, SSA, SAS, or SSS is given. Then
whether the law of sines or the law of cosines should be used to begin solving the triangle.

Question 48

Solve the problem.

Question 49

Solve the problem.

Question 50

Find the indicated angle or side. Give an exact answer.

Question 51

Solve the problem.

Question 52

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.

Question 53

Find the indicated angle or side. Give an exact answer.

Question 54

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as

Question 55

Find the indicated angle or side. Give an exact answer.

Question 56

Solve the problem.

Question 57

Solve the problem.

Question 58

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.

Question 59

Assume a triangle ABC has standard labeling. Determine whether SAA, ASA, SSA, SAS, or SSS is given. Then
whether the law of sines or the law of cosines should be used to begin solving the triangle.

Question 60

Solve the problem.

Question 61

Solve the problem.
Two airplanes leave an airport at the same time, one going northwest at 415 mph and the other going east at 329 mph. How far apart are the planes after 2 hours (to the nearest
Mile)?

A) 1228 mi
B) 688 mi
C) 1376 mi
D) 1147 mi

Question 62

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
Why canʹt the Pythagorean theorem be used to solve an oblique triangle?

Question 63

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as

Question 64

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 65

Solve the problem.
Tia is going to stain her triangular concrete patio. The patio is approximately 15 feet by 18 feet by 10 feet. If one can of stain covers how many cans of stain will she need?

A) 66 cans
B) 2 cans
C) 90 cans
D) 5 cans

Question 66

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as

Question 67

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as

Question 68

Solve the problem.
A solar reflector is made using 35 identical triangular-shaped mirrors, each having sides 2 meters, 1.7 meters, 1.5 meters. What is the total surface area of the reflector (to the nearest square meter)?

Question 69

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.

Question 70

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.

Question 71

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as

Question 72

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as

Question 73

Solve the problem.
A stained glass window is composed of 20 triangular sections, each with sides 6, 8, and 7 in. Find the total area of the window (to the nearest square inch).

Question 74

Solve the problem.
Find the area of a triangular garden if the sides are approximately 10 feet, 8 feet, and 16 feet (to the nearest square foot).

Question 75

Solve the problem.
A painter needs to cover a triangular region 65 meters by 67 meters by 75 meters. A can of paint covers 70 square meters. How many cans will be needed?

A) 3 cans
B) 15 cans
C) 333 cans
D) 30 cans

Question 76

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.

Question 77

Solve the problem.
A room in the shape of a triangle has sides of length 18.1 yards, 14.8 yards, and 15.8 yards. If carpeting costs $18.88 per square yard, padding costs $2.00 per square yard, and there is no charge
For installation, how much, to the nearest dollar, will it cost to carpet the room?

A) $472
B) $2327
C) $4233
D) $111

Question 78

Solve the problem.

Question 79

Solve the problem.

Question 80

Solve the problem.