Find The Length of The String ? If

A kite is flying at the height of 75 m from the ground. The string makes an angle θ[where cotθ = 8/15] with the level ground. Assuming that there is no slack in the string, the length of the string is equal to:

  1. 85 m
  2. 75 m
  3. 40 m
  4. 65 m
Abdul Salam Newbie Asked on 22nd August 2015 in Maths.
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    Answer: (1) 85 m
    Explanation:-
    Let the length of the kite be X m.
    In the triangle ABC-

    RE: Find The Length of The String ? If


    Given-
    cotq = 8/15
    Cot q = AB/75
    8/15 = AB/75
    AB = 8 x 5
    AB = 40 m
    AC = (AB2 + BC2)1/2
    AC = (752 + 402)1/2
    AC = (5625 + 1600)1/2
    AC = (7225)1/2
    AC = 85 m
    AC= X = 85 m
    Then, the length of the string is 85 m.
    Hence, the answer is (1) 85 m.

    Anurag Mishra Professor Answered on 28th August 2015.
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