What is the distance between the points on the ground at which the two ropes are anchored?

Question

A hot-air balloon is held at a constant altitude by two ropes that are anchored on the ground. One rope is 120 ft long and makes an angle of 65° with the ground. The other rope is 115 ft long.

Answer 1

It always help to draw a diagram. Using some trigonometry you can find the solution(s) using the law of sines.

 

See: http://hwmath.net/solutions//balloon.jpg