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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

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2.3 m

9.2 m

7.8 m

4.6 m

answer is D.

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Detailed Solution

Let AB be the wall and BC be the ladder.

Then $∠ A C B = 60 °$ and $A C = 4.6 m$

$\cos 60 ° = \frac{A C}{B C}$

$\frac{1}{2} = \frac{A C}{B C}$

$B C = 2 A C$

$= (2 \times 4.6) m$

$B C = 9.2 m$

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