Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If the height of a pole is $8\sqrt{3}$ meters and the length of its shadow is 8 meters, then the angle of elevation of the sun is;

Options:

30°

45°

60°

90°

Correct Answer:

60°

Explanation:

The correct answer is Option (3) → 60°

Height of the pole = $8\sqrt{3}$​ m
Length of the shadow = 8 m

$\tan \theta = \frac{\text{height}}{\text{shadow}} = \frac{8\sqrt{3}}{8} = \sqrt{3}$

We know:

$\tan 60^\circ = \sqrt{3}$

Angle of elevation of the sun = 60°