1. The angle of elevation of the top of a tower from a point A due south of the tower is 'x' and from B due east of the tower is 'y'. If?
回答 (1)
2016-01-18 10:40 am
✔ 最佳答案
Please see the graph below,+ x ≡ south
+ y ≡ east
the height of the tower = OT = h , so
OA = h * cot x
OB = h * cot y
AB^2 = OA^2 + OB^2
d^2 = h^2*cot^2 x + h^2*cot^2 y = h^2 * ( cot^2 x + cot^2 y )
h^2 = d^2 / ( cot^2 x + cot^2 y )
h = d / √( cot^2 x + cot^2 y )
Q.E.D.
收錄日期: 2021-05-02 14:09:33
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