Posted by **Anonymous** on Wednesday, August 31, 2011 at 2:07am.

an airplane flies 200 km due west from city A and then 350 km in the direction of 32.0 degrees north of west from city B to city C.

a) in a straight-line distance, how far is city c from city a?

b) relative to city a, what direction is city c?

- physics -
**Henry**, Friday, September 2, 2011 at 2:56pm
a. 32 deg North of West = 148 deg.,CCW.

X=hor. = -200 + 350cos148 = -496.82km.

Y = ver. = 350sin148 = 185.47km.

d = sqrt(X^2+Y^2),

d = sqrt((-496.82)^2 + (185.47)^2 =

530.3km.

b. tanA = Y / X = 185.47 / -496.82 = -0.37332.

A = -20.47 deg,CW. = 180 - 20.47 = 159.53 deg.,CCW. = 20.47 deg, North of West..

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