Question

You are snowboarding down a mountain with a vertical height of 1,200 feet. From the top of the mountain to the base, you have traveled 2,400 feet. What is the angle of elevation from the base to the top of the mountain

A. 30
B. 33
C. 57
D. 60

Answer 1

sin e = 1200/2400
e = sin^-1 (1200/2400) = 30 degrees

Answer 2

This is a 30-60-90 right triangle, which is indicated by the fact that the hypotenuse is twice the length of the shorter leg. The 30-degree angle is opposite the shorter leg. Therefore, the angle of elevation is 30 degrees.