A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of the tower is 25°.

Question

How tall is the tower? (Round your answer to the nearest foot.)

I belive the answer is 304 bc I did 375Tan(39°) and got 303.66 but it marked it wrong can someone help me

Answer 1

the height of the observer is
... h = 375 sin(25º)

the height of the tower above the observer is
... h = 375 sin(39º)

add the two heights to find the tower
(remember to round)