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 √3 times the height of the tree, is:
(A) 30 degrees
(B) 45 degrees
(C) 60 degrees
(D) 90 degrees


Answer: (A)

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.
Given,
AC:AB = √3
cot θ = √3
θ = 30 degrees.

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