an airplane has a velocity of 499 km/h relative to the moving air. at the same time, a wind blows northward with a speed of 87 km/h relative to the earth. the airplane is moving in an easterly direction relative to the earth. find speed of airplane to relative to earth.

Answer 1

the speed is the vector sum of the plane and the wind

north and east are perpendicular, so it's a right triangle

s² = 499² + 87²