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13 July, 13:31

A blimp is 1300 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 71.9° and 27.1°, how far apart are the two stadiums to the nearest meter?

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  1. 13 July, 13:38
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    Tanα=height/distance

    tanα=h/d

    d=h/tanα so

    d1=h/tanα and d2=h/tanß

    Then the distance between them is:

    d=h/tanß-h/tanα, we know that h=1300, α=71.9°, and ß=27.1° so

    d=3100/tan27.1-3100/tan71.9 meters

    d≈5045 m (to nearest meter)
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