Question:
A vertical object 20 cm long casts a shadow 7 cm long on the ground. At the same time a pole casts a shadow 30 m long on the ground. Then find the approximate height of the pole.
A vertical object 20 cm long casts a shadow 7 cm long on the ground. At the same time a pole casts a shadow 30 m long on the ground. Then find the approximate height of the pole.
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Height and shadow length are proportional for objects measured at the same time.
Updated On: Jul 3, 2026
- 60 m
- 85 m
- 92 m
- 70 m
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The Correct Option is B
Solution and Explanation
Step 1: At the same time, the ratio of height to shadow length is the same for all objects: \( \frac{20}{7} = \frac{h}{30} \).
Step 2: Solve for h: \( h = \frac{20 \times 30}{7} = \frac{600}{7} \approx 85.7 \) m. Answer: option 2 (approximately 85 m).
Step 2: Solve for h: \( h = \frac{20 \times 30}{7} = \frac{600}{7} \approx 85.7 \) m. Answer: option 2 (approximately 85 m).
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