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Two tracking stations are on the equator 135 miles apart. A weather balloon is located on a bearing of N 37 degrees E from the weastern station and on a bearing of N 19 degrees E from the eastern station. How far is the balloon from the weastern station?

  • trig -

    If we draw a triangle WBE with the obvious labels for angles and sides, we have angles

    W=53 degrees
    E=109 degrees
    B=18 degrees

    Now, using the law of sines

    w/sin109 = 135/sin18
    w=413 miles

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