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March 26, 2017

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From the top of a cliff 150m high, the angles of depression of two boats are 60 and 30. Find the distance between the boats if they are on the opposite sides of the cliff.

  • maths-urgently needed - ,

    x+y

    tan 30 = x/150
    x = 150 tan 30

    tan 60 = y/150
    y 150 tan 60
    so
    d = 150 (tan 30 + tan 60)
    d = 150 (1/sqrt 3 + sqrt 3 /2)
    = 150 (2 + 3)/2sqrt 3
    = 375/sqrt 3
    = 216.5

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