A 50-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of approximately 55° with the ground. What is the height of the balloon?

Answer 1

50 meters is the hypotenuse, and height h the side opposite the 55^o angle. So sin (55) = h/50, h = 50 sin (55) (with calculator in DEGREES mode!).