Question 1102012
the yarn forms right triangle xyz where:


xy is the hypotenuse.
yz is the vertical side.
xz is the horizontal side.


you are given that xy is equal to 22.05 and yz is equal to 8.7.
xz is what you want to find.


the pythagorus formula for a right triangle states that c^2 = a^2 + b^2


c is the hypotenuse and a and b are legs of the right triangle.


let xy = c and let yz = a and let xz = b and the formula becomes:


22.05^2 = 8.7^2 + b^2


solve for b^2 to get b^2 = 22.05^2 - 8.7^2 = 410.5125


solve for b to get b = sqrt(410.5125) = 20.26110806


since b = xz, then xz = 20.26110806 also.


that's the horizontal distance from where the point where the string starts to the point when it intersects with the window.