A delivery truck travels 14 blocks north, 17 blocks east, and 24 blocks south. H

Question

A delivery truck travels 14 blocks north, 17 blocks east, and 24 blocks south. How many blocks is its final distance from the starting point ("as the crow flies")? Assume the blocks are equal length and give your answer as a pure number, without any units. Refering to the previous problem, what is the angle of the final displacement relative to the east? Give your answer in degrees (use units of "deg") and remember that physicists usually count angles north of east as positive, and south of east as negative.

Explanation / Answer

Truck travels | Line Coordinates ------------------+-------------------… 18 North........| 0, 0; 0, 18 10 East.........| 0, 18; 10, 18, 16 South.......| 10, 18; 10, 2 -----------------+---------------- This forms a right triangle where: a = 10 b = 2 c = v(10² +2² ) c = 10.12 - round to 10 arctan (2/10) = 11.31° ENE - round to 11° ENE a.) Is the closet answer

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