Q. 35.0( 2 Votes )

If the length of the shadow of a tower is times its height then the angle of elevation of the sun is
A. 45°

B. 30°

C. 60°

D. 90°

Answer :

Untitled31.jpg


Let AB be the tower 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). Given that, BC = √3AB. We will use trigonometric ratio tan for the triangle taking AB as height and BC as the base.


In ∆ABC,



or,


θ = 30°


since we know that tanθ is 1/√3 whenever θ = 30°.


So, the correct option is (B).

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