Need to know in meters how tall the building is please and thank you

Question

 A surveyor standing 59 meters from the base of a building measures the angle to the top of the building abd finds it to be 36 degrees. the surveyor then measures the angle to the top of the radio tower on the building and finds it 48 degrees how tall is the radio tower? 

Answer 1

To determine the height of the building w/o the radio tower, h_B:

 

tan(36^o) = h_B/59

 

Solve for h_B

 

To determine the height of the building and radio tower, h_B+RT^:

 

tan(48^o) = (h_B+RT)/59

 

Solve for h_B+RT

 

Height of Radio Tower, h_RT

 

h_RT = h_B+RT - h_B