Posted by **Bob** on Tuesday, June 26, 2012 at 11:14pm.

From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. Approximate the height of the tower. (Round your answer to the nearest tenth.)

- Trig -
**Steve**, Tuesday, June 26, 2012 at 11:32pm
If the height is h, and P is x m from the base,

h/x = tan 27°10' = .5132

h/(x-23) = tan 51°30' = 1.2572

rearranging things a bit,

h = .5132x = 1.2572(x-23)

x = 38.8651

so, h = 19.9456, or 19.9m

## Answer This Question

## Related Questions

- trig - a tower that is a 200 meters is leaning to one side. from a certain point...
- trigo - to calculate the height of the tower david measured the angle of ...
- Trig - The angle of elevation from a point on the ground to the top of a tower ...
- calculus - I need help with the following problem: From a point 50 meters from ...
- math - the elevation of a tower from a point on the ground is 30 at a point on ...
- 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 ...
- trig - a tower standing on level ground is due north of piont N and due west of ...
- trig - On an inclined road, which makes an angle of 25 degrees with the ...
- Math - If an observer stands at a certain point in the same horizontal plane as ...

More Related Questions