Question

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?

Answer 1

x=4629*tan(5)=404.98
=405 meters

Answer 2

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Using SOH CAH TOA

Tan angle =
`(opposite)/(adjacent)`

`Tan 5 = (x)/(4629)`

`x = 4629*Tan5`

`x = 4629*0.087488`

`x = 404.98`

To the nearest meters, the height is 405 meters. : Answer

Hope it will help :)