Step 1 :The problem is asking for the length of the line, which is the hypotenuse of a right triangle. The other two sides of the triangle are given as 24 ft (height of the kite off the ground) and 10 ft (length of the shadow).
Step 2 :We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Step 3 :So, we can set up the equation as follows: \(line^2 = 24^2 + 10^2\)
Step 4 :Then, we can solve for the length of the line.
Step 5 :Final Answer: The length of the line is \(\boxed{26.0}\) ft.