The height of a pole is $2\sqrt{3}$ mete

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The height of a pole is $2\sqrt{3}$ meters and the length of its shadow is 2 meters. What will be the angle of elevation of the Sun?

Options:

45°

30°

60°

90°

Correct Answer:

60°

Explanation:

Let AB be the pole and AC be its shadow, as shown in the above figure.

Let angle of elevation,ACB=θ

Then, AB=2√3m and

AC=2m

Tanθ = AB/AC =2√3/2 = √3

Since, tanθ = √3,

Θ = 60^o