If the tower is 45 feet in height, how far is the partner from the base of the tower?

From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of 40 degrees. If the tower is 45 feet in height, how far is the partner from the base of the tower?

Expert Solution

Given:

The angle of depression is 40°

Height of the tower is 45ft

To find angle we must subtract the angle of depression by 90°

Hence we get , 90-40=50°

Now to find distance we can use

D=h (tan(angle))

Putting the values

D= 45 (tan(50))

D= 45×1.19175

D=53.2867 ~ 53.63 ft

The distance at which his partner is from base is 53.63ft.

Nikhil Thakur answered 2 years ago

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