Posted by **Anonymous** on Wednesday, January 23, 2013 at 11:35am.

The angle of elevation of the bottom of a window 10 meter above the ground level from a point on the ground is 30degrees.

A pole projecting outwards and upwards from the bottom of the window makes an angle of 30 degrees with the wall.

If the angle of elevation of the top of the pole observed from the same point on the ground is 60 degrees, what is the the length of the pole?

- maths -
**Steve**, Wednesday, January 23, 2013 at 12:34pm
Ah, such carefully contrived angles.

Label the

point on the ground Q

base of the wall A

bottom of the window B

top of the pole P

∆ABQ is a 30-60-90 ∆, so BQ=20

∆BPQ is also 30-60-90, so BP=20/√3

so, the pole is 20/√3 = 11.5m

## Answer this Question

## Related Questions

- Mathematics - The angle of elevation of the top of a flagpole from a point on ...
- math - A point is directly below a window. Another point B is 15 m from A and at...
- precal - A pole 12 meters tall is perpendicular to level ground. A taut wire ...
- mathematics - a vertical pole stands on level ground. from a point on the ground...
- trig - A 52-foot wire running from the top of a tent pole to the ground makes an...
- Maths - I have a diagram in which AB is a vertical cliff. BC is a vertical ...
- Trig - A 60-foot flagpole stands on top of a building. From a point on the ...
- maths - Two vertical poles, 3m and 7m long are on the same straight line with a ...
- math - The length of the shadow of a pole on the level ground increases by 60 ...
- math - a flagpole is 25 feet tall. a truck runs into the pole and bends it at ...