A delivery truck travels 12 blocks north, 19 blocks east, and 27 blocks south. H

Question

A delivery truck travels 12 blocks north, 19 blocks east, and 27 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. I found the answer to this by combining vectors and using the pythag theorem.. so sqrt(-15)^2+(19)^2 = 24.21 Now, I need help with the second half of problem. Referring 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. I thought using sin (opp/hyp), I'd find the angle.. but I'm getting really small values.

Explanation / Answer

to find the angle you want to use the inverse sin or arcsin. this gives arcsin(15/24.21)=38.2854 degrees

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