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A kite is flying 8 feet off the ground it line is pulled taut and cast a 7-ft shadow find the length of the line if necessary round your answer to the nearest 10th

A kite is flying 8 feet off the ground it line is pulled taut and cast a 7ft shadow find the length of the line if necessary round your answer to the nearest 10 class=

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EXPLANATION

Since the kite is flying 8 ft from the ground, we can apply the Pythagorean Theorem to obtain the value of the line, by assuming that x represents the unknown value, as shown as follows:

[tex]x^2=8^2+7^2[/tex]

Computing the powers:

[tex]x^2=64+49[/tex]

Adding numbers:

[tex]x^2=113[/tex]

Applying the square root to both sides:

[tex]x=\sqrt[]{113}=10.63014581[/tex]

Rounding to the nearest tenth:

[tex]x=10.6[/tex]

In conclusion, the unknown distance is 10.6 ft

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