A ladder rests against a wall so that it’s top touches the roof of the house. If the ladder makes an angle of $60 °$ with the horizontal and height of the house is $6 \sqrt{3} i n$ , then the length of the ladder is

$12 \sqrt{3} m$

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$12 m$

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$\frac{12}{\sqrt{3}} m$

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None of these

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Solution

The correct option is B
$12 m$

Finding the length of the ladder:
Given, $\begin{array}{rcl} \sin 60 ° & = & \frac{6 \sqrt{3}}{x} \\ \frac{\sqrt{3}}{2} & = & \frac{6 \sqrt{3}}{x} \\ x & = & 6 \times 2 \\ x & = & 12 \end{array}$
Hence, the correct answer is option (B).

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A ladder rests against a wall so that it’s top touches the roof of the house. If the ladder makes an angle of60° with the horizontal and height of the house is 63in, then the length of the ladder is

The correct option is B 12mFinding the length of the ladder:Given, sin60°=63x32=63xx=6×2x=12Hence, the correct answer is option (B).

A ladder rests against a wall so that it’s top touches the roof of the house. If the ladder makes an angle of $60 °$ with the horizontal and height of the house is $6 \sqrt{3} i n$ , then the length of the ladder is

The correct option is B
$12 m$

Finding the length of the ladder:
Given, $\begin{array}{rcl} \sin 60 ° & = & \frac{6 \sqrt{3}}{x} \\ \frac{\sqrt{3}}{2} & = & \frac{6 \sqrt{3}}{x} \\ x & = & 6 \times 2 \\ x & = & 12 \end{array}$
Hence, the correct answer is option (B).