The airplane is blown off course by wind in the directions shown. What is the resulting speed of the planes across the ground from least to greatest?

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west