Posted by **Chell** on Thursday, November 17, 2011 at 10:50pm.

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?

- Math- Pre calc -
**Steve**, Friday, November 18, 2011 at 1:05pm
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

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