Trig

Two tracking stations are on the equator 161 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 16°E from the eastern station. How far is the balloon from the western station? Round to the nearest mile.

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asked by Nicole
  1. Draw a diagram. If the stations are labeled W and E, and the balloon is B, then

    angle WBE = 16°
    angle WEB = 106°
    So, the distance WB can be found using the law of sines:

    WB/sin106° = 161/sin16°

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    posted by Steve

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