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    Question

    A 18 m long ladder (whose foot is on the ground) leans

    against a wall making an angle of 60° with the wall. What is the height (in m) of the point where the ladder touches the wall from the ground?
    A 9 Correct Answer Incorrect Answer
    B (9√3)/2 Correct Answer Incorrect Answer
    C 9√2 Correct Answer Incorrect Answer
    D 9√3 Correct Answer Incorrect Answer

    Solution

    In ΔABC ∠C = 180∘ − 30∘ − 90∘ ∠C = 60° Now, sin 60∘ = AB/AC √3/2 = AB/18 ⇒ AB = 9√3

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