Angle of elevation

Question

kevin is standing directly between a 90 ft tall courthouse and 54 ft tall bank. if the angle of elevation from the point where kevin is standing to the top of the courthouse is 72 degree, while the angle of elevation to the top of the bank is 35 degrees. what is the distance between the courthouse and the bank ?

Answer 1

Distance from Kevin to Courthouse

 

tan 72° = 90 / d

d = 90 / tan 72°

 

Distance from Kevin to Bank

 

tan 35° = 54 / d

d = 54 / tan 35°

 

Distance form Courthouse to Bank

 

90 / tan 72° + 54 / tan 35°

 

Determine values of tan functions, divide and add.