A cellular telephone tower that is 300 feet tall is placed o

A cellular telephone tower that is 300 feet tall is placed on top of a mountain that is 1500 feet above sea level. What is the angle of depression from the top of the tower to a cell phone user who is 6 horizontal miles away and 200 feet above sea level?

Solution

Altitude = 300+ 1500 - 200 = 1600 ft

horizontal distance = 6*5280 = 31680 ft ( 1 mile = 5280 ft)

angle of depression, tan@ = 1600 / 31680

@ = tan^-1 ( 1600 / 31680 )

@ = 2.89 degree