A water tower is located 361 feet from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 38°

Question

and that the angle of depression to the bottom of the tower is 21°

How tall is the tower?

height = __ feet

How high is the window from the ground?

___ feet from the ground

report answer accurate to two decimal places

Answer 1

Draw a figure.

H1 (above window): H1/361 = tan 38°

H2 (to the base or ground): H2/361 = tan 21°

The ht of the tower is H1 + H2

Once you have H1 and H2, the rest is easy!