# math trig

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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 -

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

• math trig -

47.91

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