Question

The angle of elevation from the bottom of the ski lift to the top of the mountain is 62°. If the vertical height of the mountain is 1,760 feet, what is the total distance traveled on the ski lift from the bottom to the top of the mountain?

Answer 1

Answer is B) 1,993 feet

Answer 2

`1,993.32\ ft`

Explanation:

we know that

The total distance traveled on the ski lift from the bottom to the top of the mountain is equal to

`d=(BC)/(sin(62\°))`

see the attached figure to better understand the problem

substitute the values

`d=(1,760)/(sin(62\°))=1,993.32\ ft`