Question

Find the measure of the indicated angle to the nearest degree.

Answer 1

48.59° is your answer.

Soh Cah Toa

Looking at the unknown angle, you know the opposite angle(45) and the hypotenuse(60). Opposite and hypotenuse is Soh which is sin.

Sinx = 45/60(opposite/hypotenuse)

(sin-1*)sinx = 45/60 (*sin-1) ----multliply by sin-1 (inverse)

The sins cancel leaving you with...

x = sin-1(45/60)

If you plug that into a calculator you should get about 48.59°.