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^ with the horizontal and height of the house is 6\sqrt3 meters, then the length of the ladder is:

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Use sine when height is opposite side.
Updated On: Mar 18, 2026
  • 12\sqrt3
  • 12
  • 12/\sqrt3
  • None of these
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The Correct Option is B

Solution and Explanation


Step 1: Trigonometric relation.
\sin60^=(6\sqrt3)/(L)
Step 2: Solve.
L=12
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