Mathematics · Heights and Distances
A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height h. At a point on the plane, the angles of elevation of the bottom and top of the flagstaff are α and β respectively. Then the height of the tower is
- 1tanαh(tanβ − tanα)
- 2tanαh(tanβ + tanα)
- 3h tanαtanβ − tanα✓
- 4h tanβtanβ − tanα
Correct answer
h tanαtanβ − tanα
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