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A hiker walks 19.55 {~m}, {E} and 11.06 {~m}, {~N} . What is the direction of his resultant displacement?

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5 votes

Answer:

22.46 meters NE

Step-by-step explanation:

The net displacement can be determined by recognizing the first two legs of the trip are due east and then due north, a change of 90 degrees. The attached plot illustrates the situation after the hiker has completed these two steps of his journey. The coordinates of this point are (18.55,11.06). The resulting right traingle has two sides with known lengths. The resulting net displacement is the line between the starting point and the finish, marked as x. Use the Pythagorean Theorem to calculate the result, 22.46 m NE.

A hiker walks 19.55 {~m}, {E} and 11.06 {~m}, {~N} . What is the direction of his-example-1
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