A bird is flying southward at a rate of 480 mph. There is an east wind blowing at 60 mph. What is the new speed and direction of flight of the bird?

I will interpret "There is an east wind blowing at 60 mph" as the wind is blowing from the east.

anyway, ... we just have a right-angled triangle so that
x^2 = 480^ + 60^2

solve for x