Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

A ladder leaning against a window of a house makes an angle of 60° with the ground. Ifthe distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is Closest to:

Options:

7. 3 m

6.8 m

7.8 m

7 m

Correct Answer:

7. 3 m

Explanation:

⇒ tan\({60}^\circ\) = \(\frac{AB}{4.2}\)

⇒ \(\sqrt {3 }\) = \(\frac{AB}{4.2}\)

AB = 4.2 x \(\sqrt {3 }\) = 7.3m

Therefore, the height of the point, where the ladder touches the window from the ground is Closest to 7.3m.