While cruising at a steady speed of 400 km/h, you identify a storm cloud straight ahead 45 km away. To avoid turbulence, you start climbing at an angle of elevation of 15°. If you maintain this speed and direction for 6 min, how far will you be from the storm?

Answer 1

horizontal distance on original course, or line-of-sight distance?
If the latter, then draw a diagram. You have two sides of 45 and 40, and the angle between them is 15°. You want to find the third side.
just use the law of cosines to find x:

x^2 = 40^2 + 45^2 - 2*40*45*sin15°