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?

Question

Thank You

Henry · Answer

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.