Question

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

Answer 1

Tan(90-31) = Y1/31
Tan(59) = Y1/31 = 1.66428
Y1=31 * 1.66428 = 51.6 = Ht. of shorter
tower.

Y1+Y2 = 51.6 + 31*sin25 = 64.7 m. = Ht.
of taller tower.