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:

2.3 m
4.6 m
7.8 m
9.2 m

Correct Answer: 9.2 m

Explanation:

Let AB be the wall and BC be the ladder.

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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