Question

For the following right triangle, find m∠1 as well as x and y:

Answer 1

1 = 58 degrees
x = 39.6
y = 33.6

First, we use the properties of a triangle to find angle 1. This is a right triangle, so one of the angles is 90 degrees. The other is given as 32 degrees. 180 - 90 - 32 = 58 degrees.

Now, we use trigonometric values of 58 degrees to identify x and y. There are a few ways to do this, but I used cosine and sine. My work is below.