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A student bikes to school by traveling first d_N = 1.10 \rm {miles} north, then d_W = 0.500 \rm {miles} west, and finally d_S = 0.200 \rm {miles} south. If a bird were to start out from the origin (where the student starts) and fly directly (in a straight line) to the school, what distance d_b would the bird cover?

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