Question:
When the Sun ray's inclination increases from 30 degrees to 60 degrees, the length of the shadow of a tower decreases by 60 m. Find the height of the tower.
When the Sun ray's inclination increases from 30 degrees to 60 degrees, the length of the shadow of a tower decreases by 60 m. Find the height of the tower.
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Shadow length equals height divided by the tangent of the elevation angle; subtract the two shadow lengths.
Updated On: Jul 14, 2026
- 50.9 m
- 51.96 m
- 48.8 m
- None of these
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The Correct Option is B
Solution and Explanation
Shadow=h/tan(angle). At 30: s1=h*sqrt(3). At 60: s2=h/sqrt(3). s1-s2=60 => h(2/sqrt(3))=60 => h=30sqrt(3)=51.96m.
Final Answer: 51.96 m, option (2).
Final Answer: 51.96 m, option (2).
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