Problem

C Gesmetr Word probem involying the Pyhagerean Theorem Sev A kite is flying $24 \mathrm{ft}$ off the ground. Its line is pulled taut and casts a 10 -ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.

Solution

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.

From Solvely APP
Source: https://solvelyapp.com/problems/mlWnSfj1Sj/

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