The angle of elevation from a point on the ground to the top of a tower is 37deg5'. The angle of elevation from a point 120 feet farther back from the

tower is 29deg5'. Find the height of the tower (to the nearest foot).

3 answers

did you make a sketch?

I have , top of tower -- P , bottom of tower Q
closer point A
farther point B

In triangle PBA
angle B = 29°5'
angle BAP = 142°55'
angle BPA = 8°
AB = 120
by sine law:
PA/sin 29°5' = 120/sin 8°
PA = 419.1165

now triangle APQ is right-angled
use
sin 37°5' = PQ/PA

you finish it

I got 263.

I get 252.717 or 253