Question

In traveling across flat land, you notice a mountain a cellular telephone tower is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level. What is the angle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 400 feet above sea level?

Answer 1

Angle of depression is 2.06°

Explanation:

Refer the figure given.

We need to find angle A.

We have AD = 1200 + 150 = 1350 feet

BC = 5 miles = 26400 feet

AB = AD - BD = 1350 - 400 = 950 feet

We have

`tanA=(BC)/(AB)\\\\tanA=(26400)/(950)\\\\A=87.94^0`

Angle of depression = 90 - A = 90 - 87.94 = 2.06°

Angle of depression is 2.06°