Posted by **aris** on Saturday, June 29, 2013 at 7:39am.

two points A and B 80 ft apart lie on the same side of a tower and in a horizontal line through its foot . If the angle of elevation of the top of the tower at A is 21 degrees and B is 46 degrees , find the height of the tower.

- math 115a -
**Steve**, Saturday, June 29, 2013 at 4:08pm
As usual, draw a diagram.

A is farther away than B, so if B is x feet from the tower of height h,

h/x = tan46°

h/(x+80) = tan21°

or,

x = h cotn46° = h cot21° - 80

h = 80/(cot21°-cot46°) = 48.8 ft

## Answer this Question

## Related Questions

- math - two points A and B 80 ft. apart lie on the same side of a tower and in a ...
- math trig - two points A and Bare 80 feetapart on the same side of A towerand on...
- Trig - From a point P on level ground, the angle of elevation of the top of a ...
- Math - If an observer stands at a certain point in the same horizontal plane as ...
- math - two office towers are 31 m apart. From the top of the shorter tower, the ...
- math trigonometry - two office towers are 31 m apart. From the top of the ...
- Trigonometry - Two points, A and D, are in a horizontal line with the foot of a ...
- plane and trigonometry - a 30 foot flagstaff is fixed in the center of a ...
- Trigonometry - A 30foot flagstaff is fixed in the center of a circular tower 40 ...
- trig - a tower that is a 200 meters is leaning to one side. from a certain point...

More Related Questions