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Question :
A man is observing a pole of height 55 foot. According to his measurement, pole cast a 23 foot long shadow. Can you help him to know the angle of elevation of the sun from the tip of the shadow ?
Answer :
Length of the pole = 55 foot
Length of the shadow = 23 foot
Let the angle of elevation of sun be θ
Ratio of pole and shadow = tan θ = Length of pole / Length of shadow
⇒ tan θ = 55 / 23
Using θ = tan⁻ ¹ ( tan θ ) we get,
⇒ θ = tan⁻ ¹ ( 55 / 23 )
Therefore the angle of elevation of sun is tan⁻ ¹ ( 55 / 23 )
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the answer is this.. nus nus
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