Question

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

Answer 1

Answer:

D

Step-by-step 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.