The angle of elevation of the top of the building from a point on the ground, which is 30 m away from the base of the building, is 30°. The height of the building is:

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Bihar STET TGT (Social Science) Official Paper-I (Held On: 08 Sept, 2023 Shift 5)
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  1. 10 m 
  2. 30/\(\sqrt{3}\) m
  3. \(\sqrt{3}\)/10 m 
  4. 30 m 

Answer (Detailed Solution Below)

Option 2 : 30/\(\sqrt{3}\) m
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Detailed Solution

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Formula Used:tan (angle of elevation) = Perpendicular / Base

Calculation:

⇒ tan (30°= h/30

⇒ h = 30 × (1/√3)  [tan 30° = 1/√3]

⇒ h = 30 / √3

∴ The height of the building is 30 / √3 meters.

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