A cross- country skier skis 7.40km in the direction of 45⁰ East of South, then 2.8 km in the direction 30⁰ North of East, and finally 5.2km in the direction 22⁰ West of North. How far is the shier from the starting point?

Answer 1

d = 40km[315o]+2.8km[30o]+5.2km[112o]
X = 28.28 + 2.425 - 1.948 = 28.76 km.
Y = -28.28 + 1.4 + 4.821 = -22.06 km.

d = sqrt(28.76^2+(-22.06)^2) = 36.2 km.

NOTE: To find X, multiply by the cosine;
to find Y, multiply by the sine.