Math Pre calc
posted by Chell on .
A 60 foot antenna stands on top of a building. From a point on the ground, the angle of elevation to the top of the antenna measures 48 degrees and 39 degrees to the top of the building. How tall is the building?

This looks familiar, but I can't find the post where it was solved. So, here goes again:
If the distance from the building to the point on the ground is d, and the height of the building is h,
h/d = tan 39
(h+60)/d = tan 48
or,
d = h/tan 39 = (h+60)/tan 48
h/.8097 = (h+60)/1.1106
1.235h = .900h + 54.025
.335h = 54.025
h = 161.27