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12 July, 08:41

A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 75.2° and 17.9°, how far apart are the two stadiums?

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  1. 12 July, 08:54
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    Tanα=height/distance

    d=h/tanα

    d1=1100/tan17.9

    d2=1100/tan75.2

    So the distance between them is:

    d=d1-d2

    d=1100/tan17.9-1100/tan75.2 meters

    d≈3115.03 m (to nearest hundredth of a meter or centimeter)
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