Question 1073304
The two ropes are hypotenuses of two right triangles which share a common leg which is the height of the balloon above the ground.


130 foot rope:
{{{130*cos(55)}}}, distance from point below the balloon to rope connection point



Height of balloon:
{{{130*sin(55)}}}


125 foot rope:
Let x be the distance from point below the balloon to this rope's connection point.
{{{x^2+(130*sin(55))^2=125^2}}}
You want to solve this for x.



What you want to finish evaluating is
{{{x+130*cos(55)}}}