Question

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

Answer 1

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:

$x^2=8^2+7^2$

Computing the powers:

$x^2=64+49$

Adding numbers:

$x^2=113$

Applying the square root to both sides:

$x=\sqrt[]{113}=10.63014581$

Rounding to the nearest tenth:

$x=10.6$

In conclusion, the unknown distance is 10.6 ft