Deck 37: Oblique Triangles

Question 1

In the oblique triangle above, if the length of a is 15.75 centimeters, the length of b is 22.25 centimeters, and the length of c is 20.50 centimeters, what is the measure of angle A to the nearest degree?

Answer 1

43°

Question 2

In the oblique triangle above, if the length of a is 15.25 inches, the measure of angle B is 35°, and the measure of angle A is 25°, what is the length of c to the nearest hundredth inch?

Answer 2

31.25 inches

Question 3

An oblique triangle contains angles of 45° 28' 12" and 88° 10' 22". Determine the measure of the third angle in degrees, minutes, and seconds.

Answer 3

46° 21' 26"

Question 4

Use the following diagram of an oblique triangle with sides a,b,c with opposite angles A,B, and C for problems 7 through 10. In the oblique triangle above, if the length of a is 15.25 inches, the measure of angle B is 35 , and the measure of angle A is 25 , what is the length of b to the nearest hundredth inch?

Question 5

Given an oblique triangle, if the length of one side is 3.58 inches, the length of another side is 2.16 inches, and the measure of the included angle is 66°, what is the length of the third side to the nearest thousandth inch?

Question 6

Use the Law of Cosines when the length of one side and the measure of any two angle are known in an oblique triangle, to find the measure of the other angle or the length of the other two sides.

Question 7

What is the cofunction of the tangent of 34° 9'?

Question 8

In the oblique triangle above, if the length of a is 15.75 centimeters, the length of b is 22.25 centimeters, and the length of c is 20.50 centimeters, what is the measure of angle B to the nearest degree?

Question 9

What is the tan of 199° 30' to the nearest ten thousandth?

Question 10

The Law of Cosines states that the square of the length any side is equal to the sum of the squares of the lengths of the other sides minus twice the product of the lengths of the two sides and the cosine of their included angle.