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A plane flies 374 miles due east, and then the second leg of its trip travels...

A plane flies 374 miles due east, and then the second leg of its trip travels 231 miles southwest. What is the magnitude of the plane's total displacement after the trip?

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Answer #1

Total displacement = d

This can be calculated by using cos rule for a triangle because if plane travels in due east and then southwest then from original position we can form a triangle whose two sides are known and third one is unknown so by using cos rule we can find out the third side.

Because displacement is direct distance of object from initial point.

Cos45 = (3742 + 2312 - d2) / 2×374×231

d = 266.57 miles

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