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

## Answer this Question

## Related Questions

- Trig - From a point P on level ground, the angle of elevation of the top of a ...
- trigonometry - Mickey determines that the angle of elevation from his position ...
- trigonometry - The angle of elevation of the top of a tower to point A on the ...
- Math - If an observer stands at a certain point in the same horizontal plane as ...
- math - the elevation of a tower from a point on the ground is 30 at a point on ...
- Math - 1. A rangers tower is located 44m from a tall tree. From the top of the ...
- TRIG Help help help test tommarow - A TV tower stands on top of the Empire State...
- trig - a tower that is a 200 meters is leaning to one side. from a certain point...
- trig - On an inclined road, which makes an angle of 25 degrees with the ...
- MAth Igcse - The angle of elevation of the top of a tower is 27 degrees from ...

More Related Questions