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Question

Find the angle of elevation of the sun when a vertical pole of height 10 m10\text{ m} casts a shadow of length 10 m10\text{ m} on level ground

Verified Answer

45∘45^\circ

Explanation & Step-by-Step Solving

Context: Let the angle of elevation be θ\theta. Using basic trigonometry tan⁡θ=OppositeAdjacent\tan \theta = \frac{\text{Opposite}}{\text{Adjacent}}:tan⁡θ=1010=1  ⟹  θ=tan⁡−1(1)=45∘\tan \theta = \frac{10}{10} = 1 \implies \theta = \tan^{-1}(1) = 45^\circ

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