The angle of elevation of the Sun, when

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The angle of elevation of the Sun, when the length of the shadow of a tree is $\sqrt{3}$ times the height of the tree, is:

Options:

30°

45°

60°

90°

Correct Answer:

30°

Explanation:

Let the length of the tree be 1 unit

Length of shadow = √3 times length of the tree = √3 unit

Tan θ = Perpendicular / Base = 1 / √3

Tan θ = Tan 30°

∴ θ = 30°