(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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)?

2. Relevant equations

Vx0 = V0cosΘ

vy0 = v0sinΘ

3. 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

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