Q. 25.0( 3 Votes )
If the height of a vertical pole is √3 times the length of its shadow on the ground then the angle of elevation of the sun at that time is
Let AB be the pole and BC be the shadow. Join A and C. We get a right-angled triangle right angled at B. The angle of elevation of the sun is ∠ ACB (= θ, say). We use the trigonometric ratio tan for the triangle taking AB as height and BC as the base. By the problem, AB = √3BC.
θ = 60°
since we know that tanθ is √3 whenever θ = 60°.
So, the correct option is (C).
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