Question

A ski jumper is preparing for her start on top of the jumping hill in korea which has a horizontal run of 234 meters. She sees the end of the hill under a 36 degree angle of depression. How high is the jumping hill?

Answer 1

The height of the jumping hill x = 189.3 m

Explanation:

From Δ ABC

AB = x = height of the hill

∠A = 36° , ∠B = 90°

Thus ∠C = 180 - ∠A - ∠B

⇒ ∠C = 180 - 36 - 90

⇒ ∠C = 54°

From Δ ABC

`\sin 54 = (AB)/(AC)`

`\sin 54 = (x)/(234)`

x = 0.809 × 234

x = 189.3 m

This is the height of the jumping hill.