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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Since you are looking at one location (fire) from two different locations with two different bearings, you can easily draw out a triangle. Using the two angles and the 10-mile distance between the two lookout stations, we can use the sine rule to determine the distances of each station. (keep in mind that this is not a right triangle since 52° + 37° = 89°, not 90°) We solve: [sin (91°)/10] = [sin (52°)/x] --> x = 7.881 miles and for y: [sin (91°)/10] = [sin (37°)/y] --> y = 6.019 miles.