Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The angle of depression of a point situated at a distance 100 m from the base of a pole is 30°. Find height of the pole is-

Options:

$100(\sqrt{3}+1)m$

$\frac{100}{3}m$

$\frac{100}{3}\sqrt{3}m$

$100\sqrt{3}m$

Correct Answer:

$\frac{100}{3}\sqrt{3}m$

Explanation:

AB is a pole.

tan θ = \(\frac{Perp.}{Base}\)

tan 30° = \(\frac{AB}{BC}\)

\(\frac{1}{\sqrt{3}}\) = \(\frac{AB}{100}\)

AB = \(\frac{100}{\sqrt{3}}\) = \(\frac{100}{3}\)\(\sqrt{3}\) m