Question

from a point on a building of hight 7m the angle of elevation of the top of tower 60°and the angle of depression of bottom of tower is 30°.find the height of the tower.
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Answer 1

The height of the tower is 28  m.

Step-by-step explanation:

applying trignometric formula:I

In triangle ADC

tan 30° = OC / AD

1/√3 = 7 / AD

AD = 7 √3

tan 60° = ED / AD

1/√3  = ED /  7 √3

ED = 21

EC = ED + DC

EC = 21 + 7 = 28 m

Thus the height of the tower is 28 m.

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