Answer:
Explanation:
The possible distances between you and the kite can be determined using the concept of the Pythagorean theorem. In this case, you are standing 12 feet from the stake, and the kite is flying at the end of a 30-foot string.
To find the distance between you and the kite, you can consider yourself as one point of a right triangle, with the kite as the other point and the string as the hypotenuse. 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.
So, in this scenario, you can use the Pythagorean theorem to find the possible distances between you and the kite. Let's denote the distance between you and the kite as "d." Using the theorem, we have:
d^2 = 30^2 - 12^2
Simplifying this equation, we get:
d^2 = 900 - 144
d^2 = 756
Taking the square root of both sides, we find:
d = √756
Now, let's calculate the square root of 756. It is approximately equal to 27.5.
So, the possible distances between you and the kite are approximately 27.5 feet. This means that you can be approximately 27.5 feet away from the kite and still see it flying at the end of the 30-foot string