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2 December, 20:44

Two boats are equidistant from a lighthouse. The boats are 30 miles apart. The angle formed between the two boats, with the lighthouse as the vertex, measures 40°. Approximately how far is each boat from the lighthouse?

A. 20 mi.

B. 21 mi.

C. 44 mi.

D. 46 mi.

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Answers (1)
  1. 2 December, 21:43
    0
    Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)

    (sin40) / 30 = (sin (180-40) / 2) / d

    d = (30sin70) / sin40

    d≈43.857mi

    d≈44 mi to the nearest whole mile ...
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