Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The angle of elevation of a ladder leaning against a wall is $60^\circ$ and the foot of the ladder is 6.5 m away from the wall. The length of the ladder is:

Options:

$6.5 \sqrt{3}$ m

$13 \sqrt{3}$ m

12 m

13 m

Correct Answer:

13 m

Explanation:

⇒ cos\({60}^\circ\) = \(\frac{6.5}{AC}\)

⇒ \(\frac{1}{2}\) = \(\frac{6.5}{AC}\)

AC = 6.5 x 2 = 13m

Therefore, length of ladder is 13m.