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A surveyor places a baseline along one bank of a river. From each end of the baseline, a rock is sighted on the opposite bank of the river. The baseline is 160m long and the lines of sight of the rock form angles of 40 degrees and 71 degrees with the baseline. How wide is the river? The radar operator at an airport control tower locates two planes flying toward the airport at the same altitude. One plane is 120km away from the airport at a bearing of North 70 degree East. The other is 180km away, on a bearing of South 55 degree East. How far apart are the planes?
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