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°.

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

1 answer

the tower's height can be considered in two pieces: above the window, and below the window. So, it is

375*tan39° + 375*tan25°
= 303.669 + 174.865
= 478.534
or, 479

You only calculated the height above the window. They gave you the second angle for a reason, but you ignored it.