two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of each tower

1 answer

if the two towers have heights a and b, then

(b-a)/31 = tan 25°
a/31 = tan 31°

Now just solve for a and b.