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saychanh
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Homework Statement
An airplane has a speed of 265 km/h relative to the air. There is a wind blowing at 90 km/h at 30° north of east relative to Earth. In which direction should the plane head to land at an airport due north of its present location (In degrees west of north) What is the plane's speed relative to the ground (in km/h)?
Homework Equations
Vx0 = V0cosΘ
vy0 = v0sinΘ
The Attempt at a Solution
VwindN = 90sin(30°) = 45 km/h
VwindE = VplaneW = 90cos(30°) = 77.942 km/h
VplaneN = 265sin(30°) = 132.5 km/h
Vnorth = 132.5 km/h + 45 km/h = 177.5 km/h
Vplane = sqrt((177.5^2) + (77.942^2)) = 193.9 km/h