The angle of elevation of the sun, when the length of the shadow of a tree is 1/√3 times the height of the tree, is:
(A)
30 degrees
(B)
45 degrees
(C)
60 degrees
(D)
90 degrees
Answer: (C)
Explanation:
Let AB be the height of the tree and AC be the length of the shadow. We need to calculate the angle ACB where BC is the hypotenuse. Tanθ = Perpendicular / Base = 1/(1/√3)
Tanθ = Tan 60°
Therefore angle of elevation is 60 deg
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