Question: A pilot in a small plane encounters shifting winds. He flies (26.0 mathrm{~km}) northeast, then (45.0 mathrm{~km}) due north. From this point, he flies an

A pilot in a small plane encounters shifting winds. He flies \(26.0 \mathrm{~km}\) northeast, then \(45.0 \mathrm{~km}\) due north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be \(70.0 \mathrm{~km}\) directly north of his starting point. What were the length and direction of the third leg of his trip?

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