Question

Lynne is hiking. When she stands at the base of the mountain, the horizontal

distance between Lynne and the highest point of the mountain is 588 feet. If
the mountain has an elevation of 2610 feet, what is the angle of elevation
from her starting point to the highest point of the mountain? Round your
answer to the nearest whole number.

Answer 1

2,020 whole number jhhh

Answer 2

Angle of elevation of the highest point of the mountain is 77°

Explanation:

Lynne is hiking. When she stands at the base of the mountain, the horizontal distance between Lynne and the highest point of the mountain is 588 feet.

Elevation of the mountain is 2610 feet.

We have to calculate the angle of elevation ∠C.

tanC =
`(2610)/(588)`

tanC = 4.439

C =
`tan^(-1)(4.439)`

C = 77.30 ≈ 77°

Therefore, angle of elevation of the mountain is 77°