Question

In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?

A. 18°

B. 75°

C. 15°

D. 72°

Answer 1

D. 72°

Explanation:

Given

Adjacent = 5feet

Hypotenuse = 16feet

Using SOH CAH TOA

cos theta = adj/hyp

cos theta = 5/16

cos theta = 0.3125

theta = arccos 0.3125

theta = 71.7

theta = 72 degrees