A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle of $60^{\circ}$ with the horizontal and height of the house be $6 \sqrt{3}$ meters, then the length of the ladder in meters is

Question

A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle of $60^{\circ}$ with the horizontal and height of the house be $6 \sqrt{3}$ meters, then the length of the ladder in meters is, $12 \sqrt{3}$, 12, $12 / \sqrt{3}$, None of these

MARKS App · Accepted Answer

Length of ladder $=\frac{6 \sqrt{3}}{\sin 60^{\circ}}=12 \mathrm{~m}$

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