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
A. 30°

B. 45°

C. 60°

D. 75°

Answer :

Untitled31.jpg


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.


In ∆ABC,



or,


θ = 60°


since we know that tanθ is √3 whenever θ = 60°.


So, the correct option is (C).

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