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Physics

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The Angle of depression of Boat A from the top of a cliff which is 32 m high is 24 degree 15 minutes .The angle of depression of Boat B from the same point is 18 degree 12 minutes .Find distance between the two side with diagram

  • Physics - ,

    h = 32 m.
    A = 24.25o
    B = 18.2o

    Tan24.25 = h/X1 = 32/X1
    X1*Tan24.25 = 32
    X1 = 32/Tan24.25 = 71 m.=Hor. distance
    between boat A and the cliff.

    Tan18.2 = h/(X1+X2) = 32/(71+X2)
    (71+X2)*Tan18.2 = 32
    71+X2 = 32/Tan18.2 = 97.33
    X2 = 97.33-71 = 26.3 m=Distance between
    boat A and B.

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