Two​ fire-lookout stations are 17 miles ​apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is N35°E and the bearing of the fire from station B is N30°W. How​ far, to the nearest tenth of a​ mile, is the fire from each lookout​ station? What is the distance of station A then B?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
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Two​ fire-lookout stations are 17 miles ​apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is N35°E and the bearing of the fire from station B is N30°W. How​ far, to the nearest tenth of a​ mile, is the fire from each lookout​ station? What is the distance of station A then B? 

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