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durham college

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the pont du gard near Nimes,france, is a roman observer in a hot air balloon some distance away from the aqueduct determines that the angle of depression to each end is 54 degrees and 71 degrees,respectively.the horizontal distance between the balloon and the closest end of the aqueduct is 270.0m. calculate the length of the aqueduct to the nearest tenth of a metre

  • physics?? -


  • no, trig -

    No, trig :)
    Draw a sketch, h is height of balloon over bridge
    tan 71 h/270
    h = 270 tan 71 = 784
    tan 54 = h/x where x is hor dist to other end from balloon
    x = h/tan 54 = 570
    so total length = 270 + 570 = 840 meters

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