Question

Instructions: Find the measure of the indicated angle to the
nearest degree

Answer 1

35 degrees

Explanation:

In this situation we will be using opposite/hypotenuse, as that is what is shown to us through SohCahToa.

Since we are trying to find the angle we will need to use arcsin.

arcsin(31/54)

the angle is 35 degrees

Answer 2

`\approx35\textdegree`

Explanation:

We need to find the given angle, and we are given the sides opposite to it and the hypotenuse. Therefore, we can use sine. Recall that:

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

Plug in the numbers. The opposite side is 31 while the hypotenuse is 54.

`\sin(\theta)=31/54\\\theta=\arcsin(31/54)\\\theta\approx35.03\approx35\textdegree`

(I forgot to mention this last time, but we can only do this because the triangle is a right triangle.)