Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

A ladder of length 3.5 m just reaches the top of a wall. If the ladder makes an angle of 60° with the wall, then what is the height of the wall (in m)?

Options:

1.75

$3.5\sqrt{3}$

$\frac{7\sqrt{3}}{4}$

$\frac{3.5}{\sqrt{3}}$

Correct Answer:

1.75

Explanation:

⇒ cos\({60}^\circ\) = \(\frac{QT}{3.5}\)

⇒ \(\frac{1}{2}\) = \(\frac{QT}{3.5}\)

⇒ QT = \(\frac{3.5}{2}\)

⇒ QT = 1.75m

Therefore, height of the wall is 1.75m.