Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.53 m due east, then 0.89 m at 29o north of due east. Beetle 2 also makes two runs; the first is 1.54 m at 49o east of due north. What must be (a) the magnitude and (b) the direction (relative to the east direction in the range of (-180°, 180°)) of its second run if it is to end up at the new location of beetle 1?

Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.53 m due east, then 0.89 m at 29o north of due east. Beetle 2 also makes two runs; the first is 1.54 m at 49o east of due north. What must be (a) the magnitude and (b) the direction (relative to the east direction in the range of (-180°, 180°)) of its second run if it is to end up at the new location of beetle 1?

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