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A tourist viewing Sydney Harbour from a building 180 metres above sea level observes a ferry which is 850 metres from the base of the building.Find the angle of depression of his line of sight.

  • maths -

    We draw and solve a rt. triangle:

    Y = 180 m. = Ht.
    X = 850 m = Hor..Distance of ferry.
    Z = Hyp. = Line of sight.

    tanA = Y/X = 180/850 = 0.21176.
    A = 12o = Angle of depression.

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