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The length of a vertical rod and its shadow are in the ratio of 2 : √12. Find the angle of elevation of the sun.

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)
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  1. 30° 
  2. 75°
  3. 45°
  4. 60°

Answer (Detailed Solution Below)

Option 1 : 30° 
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Detailed Solution

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Given:

Length of rod : Length of shadow = 2 : √12

Formula used:

tan θ = Height of rod ÷ Length of shadow

Calculations:

⇒ tan θ = 2 ÷ √12

⇒ tan θ = 2 ÷ 2√3 = 1 ÷ √3

⇒ θ = 30°

∴ The angle of elevation of the sun is 30°.

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