Question

In the accompanying diagram of right triangle RUN, MZU =90, mZN = 37, and RN = 21 R 21 37 U N What is the length of RU, expressed to the nearest tenth?

Answer 1

In order to find the length of RU, we can use the sine relation of the angle 37°.

The sine relation is equal the opposite side to the angle over the hypotenuse of the right triangle.

So we have:

$\begin{gathered} \sin (37\degree)=\frac{RU}{21} \\ 0.6=\frac{RU}{21} \\ RU=21\cdot0.6 \\ RU=12.6 \end{gathered}$

So the correct option is A.