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    A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
    Question

    A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:

    A.

    7 m

    B.

    14

    C.

    7√3 m

    D.

    14√3 m

    Correct option is A

    Given:
    Length of ladder (hypotenuse), L = 14 m
    Angle with wall, θ = 60°
    Height of wall (adjacent side) = H
    Formula used:
    cos θ = HL \frac {H}{L}​​
    Solution:
    cos 60° = H14 \frac {H}{14}​ 
    => 12 \frac {1}{2}​ = H14 \frac {H}{14}​​
    => H = 14 × 1/2
    => H = 7 m
    Correct answer is (a) 7 m

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