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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?

Respuesta :

Angle of depression is 2.06°

Step-by-step 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

                  [tex]tanA=\frac{BC}{AB}\\\\tanA=\frac{26400}{950}\\\\A=87.94^0[/tex]

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

Angle of depression is 2.06°

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