Problema Solution

A ranger spots a forest fire while on a 55-meter observation tower. The angle of depression from the tower to the fire is 29°. To the nearest meter, how far is the fire from the base of the tower?

Answer provided by our tutors

The distance from the base is x

The equation is

55/x = tan29

x = 55/tan29 = 99.22

So the distance from the base is 99.22 meters