Posted by **john** on Monday, June 10, 2013 at 7:06pm.

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).

- Trig -
**Reiny**, Monday, June 10, 2013 at 8:29pm
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

- Trig -
**john**, Monday, June 10, 2013 at 8:55pm
I got 263.

- Trig -
**Reiny**, Monday, June 10, 2013 at 11:36pm
I get 252.717 or 253

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