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Q) The length of the shadow of a tower on the plane ground is √3 times the height of the tower. Find the angle of elevation of the sun.

Ans:

Let the tower be AB and its shadow be AC and angle of elevation from point C be θ

Given that AC = √3 x AB

Now in Δ ABC, tan θ =  \frac{AB}{AC} = \frac{AB}{\sqrt 3 AB} = \frac{1}{\sqrt3}

It means,  θ = 300

Therefore, angle of elevation of the sun is 300

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