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The angles of elevation of the top.....?
The angles of elevation of the top of the tower from two points at a distamce of 4 m and 9 m from the base of tower and in the same streight line with it are complemenary. proove that the height of tower is 6 meters........
please help me with the solutuion & its steps
1 Answer
- nyc_kidLv 71 decade agoFavorite Answer
First, if a and b are complementary angles, then tan(a) = 1/tan(b)
Let a be the elevation angle at 4m and b at 9 m and h represents the height of the tower.
Then, h/4 = tan(a) = 1/tan(b) = 9/h ===> h/4 = 9/h ==> h^2 = 36 ===> h = 6 m.
