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The horizontal distance between two towers is 40√3 m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 130 m, find the height of the first tower.

The horizontal distance between two towers is 40√3 m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 130 m, find the height of the first tower. Correct Answer 90 m

Given:

The horizontal distance between two towers = 40√3 m

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Calculation:

Let the height of the first tower = h 

In triangle ABC, AB/BC = tan 30° 

⇒ (130 - h)/40√3 = 1/√3

⇒ 130 - h = 40 

⇒ h = 90 

∴ The height of the first tower = 90 m 

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