Posted by **Angie** on Friday, October 8, 2010 at 12:09pm.

I really need help... You are on a treasure hunt and your map says "Walk due west for 52 paces, then walk 29.0° north of west for 39 paces, and finally walk due north for 25 paces." What is the magnitude of the component of your displacement in the following directions?

Thank You

- Physics -
**Henry**, Saturday, October 9, 2010 at 10:52pm
29 deg N of W = 151 deg(180 - 29) CCW from 0.

X = hor = -52 + 39cos151 = -52 - 34 = -86,

Y = ver = 39sin151 + 25 = 18.9 + 25 = 43.9,

D^2 = X^2 + Y^2 = (86)^2 + (43.9)^2 = 9331.6,

D = sqrt(9331.6) = 96.6.

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