An airplane ascends such that its gain h in altitude is proportional to the square root of the change 2:: in horizontal distance traveled. If h : 360 m for x :400 m and vx is constant at 390 mi's, nd the velocity at this point. It is given that the airplane's gain h in altitude is proportional to the square root of the change x in horizontal distance traveled. Find the proportionality constant k for when h is expressed as a function of x. k = D (Simplify your answer. Round to the nearest integer as needed} Find the magnitude of the velocity of the plane at the point when h = 360 m and x=400 m. The magnitude is approximately El |:l (Round to the nearest integer as needed.) Find the direction ofthe velocity of the plane at the point when h = 360 m and x = 400 m. Enter an angle 6 such that 180 5 B