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The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

/ Aptitude, Height And Distance / By
Question: The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
[A].

2.3 m

[B].

4.6 m

[C].

7.8 m

[D].

9.2 m

Answer: Option D

Explanation:

Let AB be the wall and BC be the ladder.

Then, ACB = 60° and AC = 4.6 m.

AC = cos 60° = 1
BC 2
BC = 2 x AC
= (2 x 4.6) m
= 9.2 m.