Question

Find the measure of each angle indicated. Round to the nearest tenth.

A) 49°
C) 38.1°
B) 44.90
D) 42.89

Can you please help explain how to find the answer​

Answer 1

D

Explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

`\sin(\theta)=opp/hyp`

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

`\sin(\theta)=10.2/15`

Solve for θ. Use a calculator:

`\theta=\sin^(-1)(10.2/15)\\\theta\approx42.8436\textdegree`

The answer is D.