Q83 / 125 · BITSAT 2011 · Mathematics

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

  • A
    \(12 \sqrt{3}\)
  • Correct answer
    B
    12
  • C
    \(12 / \sqrt{3}\)
  • D
    None of these

Solution

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

Hence, the correct answer is option: 'B'.

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