You are skiing down a mountain with a vertical height of 1250 feet.The distance from the top of the mountain to the base is 2500 feet.What is the angle of elevation from the base to the top of the mountain? ?
A)60° = $\frac { \pi } { 3 }$
B)30° = $\frac { \pi } { 6 }$
C)0° = 0
D)90° = $\frac { \pi } { 2 }$
E)45° = $\frac { \pi } { 4 }$

Question

Quizplus · Accepted Answer

The tangent of the angle of elevation can be found by taking the ratio of the vertical height to the horizontal distance:

tan θ = vertical height/horizontal distance
tan θ = 1250/2500
tan θ = 0.5

Using a calculator, we can find the inverse tangent (or arctan) of 0.5 to be approximately 30 degrees, so the answer is B) 30°.

You Are Skiing Down a Mountain with a Vertical Height π3\frac { \pi } { 3 }3π​

You Are Skiing Down a Mountain with a Vertical Height $\frac { \pi } { 3 }$