Trigonometry

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Two fire towers are 30 km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14° N and W 34° N, respectively. Find the distance d of the fire from the line segment AB.

  • Trigonometry -

    Find the 3 angles of the triangle, then use law of sines to find a, the side opposite angle A

    then, d = a sin34°

  • Trigonometry -

    29.3

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