a boy standing 70m away from a flag post observe that the angle of elevation of the top and bottom of a tower on top of the flag post are 57 and 69 degrees respectively. find the height of the tower

Tan 57= f/70

f= 70tan 57
=107.79
tan 59 =(f+t)/70
f+t= 70 tan 69
=182.356
t=70 tan 69- f
=70 tan 69 - 70tan 57
= 74.5m

Did you make a sketch?

let the height of the flag pole be f
let the height of the tower be t
tan 57 = f/70
f = 70tan57

tan 69 = (f+t)/70
f+t = 70tan69

t = 70tan69 - f
= 70tan69 - 70tan57
= ...

you do the buttonpushing

Thanks For Answering My Answer

Thanks guys

THANK FOR ANSWERING MY qst

You are very correct, i concur with your answer neiga

very correct