The shadow of a flagpole in a school is 1/√3 times its height. The angle of elevation of the sun is:
The shadow of a flagpole in a school is 1/√3 times its height. The angle of elevation of the sun is:
- A. tan⁻¹(1/√3)
- B. cot⁻¹(1/√3)
- C. sin⁻¹(1/√3)
- D. cos⁻¹(1/√3)
Answer: B) cot⁻¹(1/√3)
Explanation: tan(θ) = height / shadow = h / (h/√3) = √3. This means cot(θ) = 1/√3, so θ = cot⁻¹(1/√3), which is 60°.
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