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In a Jaipur school ground the shadow of a vertical flag pole 12 m tall is measured twice on the same day: once when the angle of elevation of the Sun is 60°, and again when it is 30°.
The ratio (shadow at 60°) : (shadow at 30°) is:

Class 10Heights and DistancesTrigonometry
  • A
  • B
  • C1 : 3
  • D3 : 1

Step-by-Step Solution

Shadow = . At 60° the shadow is m; at 30° it is 12 m. Ratio = 4 : 3. The height cancels, so the ratio would be the same for a pole of any height.
Answer: C) 1 : 3

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