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:

1.

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.

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Then, ACB = 60° and AC = 4.6 m.

AC	= cos 60° =	1
BC	= cos 60° =	2

BC	= 2 x AC
	= (2 x 4.6) m
	= 9.2 m.

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