Let the right wire be `x` and let the left wire be `y.`
Using the law of sines, `(sin A)/a = (sin B)/b,` we can find each length. A and B represent angles and a and b represent side lengths opposite those angles.
To find `y` , `(sin 60)/15 = (sin 45)/y`
Cross multiply to find `y.`
`y* sin 60 = 15* sin 45` Divide both sides by `sin 60`
`y = 12.24744`
To find `x` , `(sin 60)/15 = (sin 75)/x`
Cross multiply to find `x.`
`x* sin 60 = 15* sin 75` Divide by `sin 60`
`x = 16.73032`
Therefore, the left wire,`y` , is approximately 12.247 meters and the right wire, `x` , is approximately 16.730 meters.
(These answers are rounded to the nearest thousandth.)