Question

Need help ASAP!!

2. The Geo Air pilot is looking at SCCA from the plane. From the aircraft the angle of depression is 17 degrees. If the plane is at an altitude of 10,000 feet, approximately how far is the plane to SCCA? Round your answer to the nearest tenth. The image is not drawn to scale.

Answer 1

The horizontal distance from the plane to SCCA is
`32,708.5\ ft`

Explanation:

Let

x-----> the horizontal distance from the plane to SCCA

we know that

see the attached figure to better understand the problem

`tan(17\°)=(10,000)/(x)`

`x=(10,000)/(tan(17\°))`

`x=32,708.5\ ft`