Question 888439
57 degrees 30 minutes is equal to 57 + 30/60 degrees is equal to 57.5 degrees.


43 degrees 50 minutes is equal to 43 + 50/60 degrees is equal to 43.833... degrees.


the height is equal to 600 feet.


you want sine (57.5) = 600 / x.


x is the hypotenuse of the triangle formed and is the length of one of the cables.


you want sine (43.833...) = 600 / y


y is the hypotenuse of the triangle formed and is the length of the other cable.


solve for x to get x = 600 / sine (57.5) = 711.413... feet.


solve for y to get y = 600 / sine (43.83...) = 866.347...


length of the cable is x + y = 1577.760... feet


a picture of your situation is shown below:


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