QA – Placement Quizzes | Trigonometry & Height and Distances | Question 6

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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