Question

a television antenna is on the roof of the building. from a pt. on the ground 36.0 feet from the building , the angle of elevation of the top and the bottom of the antenna are 51 degree celsiusand 42 degree celsuis respectively. how tall is antenna?

Answer 1

tan42 = h1/36.
h1 =36*tan42 = 32.4 Ft. = Ht. of Bldg.

tan51 = (h1+h2)/36.
h1+h2 = 36*tan51 = 44.5 Ft. = Ht. of Bldg. plus ant.

hi + h2 = 44.5
h2 = 44.5 - h1 = 44.5 - 32.4 = 12.1 Ft. = Ht. of ant.