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Answer :

Given:

A kite is flying 12 ft off the ground. Its line is pulled taut and casts a 5-ft shadow.

We will find the length of the line

The length of the line represents the hypotenuse of a right-angle triangle

The legs of the triangle are: 5 ft and 12 ft

Using the Pythagorean theorem

So, the length =

[tex]\sqrt[]{5^2+12^2}=\sqrt[]{25+144}=\sqrt[]{169}=13ft[/tex]

So, the answer will be:

The length of the line = 13 ft