Question

In ΔABC, the measure of ∠C=90°, the measure of ∠A=63°, and AB = 35 feet. Find the length of CA to the nearest tenth of a foot.

Answer 1

x ≈ 15.9 ft

Explanation:

Reference angle = <A = 63°

Hypotenuse = AB = 35

Adjacent = CA = x

Apply trigonometric function CAH:

Cos A = Adj/Hyp

Plug in the values

Cos 63 = x/35

35 × cos 63 = x

15.8896675 = x

x ≈ 15.9 ft