Q. 15.0( 5 Votes )

If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is
A. 0°

B. 30°

C. 45°

D. 60°

Answer :

Untitled31.jpg


In the figure let AB be the pole and BC is its shadow. Join A and C. We get a right-angled triangle ∆ABC. Angle of elevation of the sun is ACB. Given that, AB = BC. We use trigonometric ratio tan taking AB as height and BC as base to find the angle BCA.


In ∆ABC,



or,



since we know that tanθ is 1 whenever θ = 45°.


So, the correct option is (C).

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