Question

An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away (from the airplane to the run away). Calculate the airplane’s angle of decent. (Hint: the angle of decent is the same as the angle of depression.)

Answer 1

Given :

An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away.

To Find :

The airplane’s angle of decent.

Solution :

Height of plane, h = 2600 m.

Horizontal distance of airplane from vertices is, d = 56 km = 56000 m.

Let, angle of depression is Ф.

So,

`tan \ \phi = (56000)/(2600)\\\\tan \ \phi = 21.54\\\\\phi = 87.34^o`

Therefore, the angle of decent is 87.34°.

Hence, this is the required solution.