Question

What is m∠B?

Round the value to the nearest degree.

Answer 1

46°

Explanation:

The mnemonic SOH CAH TOA reminds you ...

Cos = Adjacent/Hypotenuse

You are given the lengths of the hypotenuse of the triangle and the side adjacent to the angle you want to find. So, the cosine function describes the relationship:

cos(B) = AB/CB = (20 cm)/(29 cm)

B = arccos(20/29) ≈ 46.397°

B ≈ 46°