If the angle of elevation of the top of tower from a point 20m away from the foot is 45 deg then find height of the tower:

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 40 m 
  2. 20 m 
  3. 30 m 
  4. 25 m 

Answer (Detailed Solution Below)

Option 2 : 20 m 
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Detailed Solution

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Given:

Angle of elevation = 45°

Distance from the foot of the tower = 20 m

Formula Used:

Height of the tower = Distance from the foot × tan(angle of elevation)

Calculation:

tan(45°) = 1

⇒ Height of the tower = 20 × 1

⇒ Height of the tower = 20 m

The height of the tower is 20 m.

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