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Radar stations A and B are on an east-west line, 3.7 miles apart.Station A detects a plane at C, on a bearing of 610. Station Bdetects the plane at a

bearing of 3210. Find the distance from A to C.



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See diagram.

In the triangle ABC,  we have the angle A = 90°-61° = 29°

 and angle B = 321° - 270° = 51°

Hence angle C = 100°

      Sin A / BC = Sin B / AC = Sin C / AB

     AC = AB Sin B / Sin C = 3.7 * Sin 51° / Sin 100° = 2.92 miles

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