Posted by **mier** on Sunday, March 9, 2014 at 7:40pm.

two points A and Bare 80 feetapart on the same side of A towerand on a horizontal line through its foot.if angle of elevation of the top of the tower at A is 21 degree and B is 46 degree find the height of the tower.

- math trig -
**Steve**, Monday, March 10, 2014 at 5:37am
If B is at distance x from the tower of height h,

h/x = tan 46°

h/(x+80) = tan21°

so, eliminating x, we get

h/tan46° = h/tan21° - 80

Now just solve for h

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