Question

Use trigonometric ratios to find the indicated side

lengths in the diagram shown. Show your work and
write your answers to the nearest tenth.
M
2
150
h
P
68
b
N
a. a
b. b

Answer 1

a = 139.1

b = 56.2

Explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)