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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.

  • ma = ths - ,

    tan60 = Y/X1 = 150/X1.
    X1 = 150/tan60 = 86.6 m. = Dist. from
    1st boat to bottom of cliff.

    tan30 = Y/X2 = 150/X2.
    X2 = 150/tan30 = 259.8 m. = Dist. from 2nd boat to bottom of cliff.

    X = X1 + X2 = 86.6 + 259.8 = 346.4 m. = Dist. between the two boats.

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