Joey is flying a kite that is attached to a string 200 yards long. The kite is as high as it can go and is flying directly above Joey's house which is 50 yards in front of Joey. How high above the ground is the kite?
This problem has too many variables to answer.
How high above the ground is Joey's end of the string?
Is the side of the house 50 yards in front of him? Or is the center of the house 50 yards in front of him?
To find out how high above the ground the kite is, we can use the Pythagorean theorem. According to the theorem, the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the string connecting the kite to Joey's house forms the hypotenuse, and the distance from Joey to his house forms one of the other sides. Let's say that the height of the kite from the ground is represented by 'h'.
From the given information, we know that the length of the string (hypotenuse) is 200 yards and the distance from Joey to his house (one of the other sides) is 50 yards.
Using the Pythagorean theorem, we can write the equation as:
200^2 = 50^2 + h^2
Simplifying this equation, we get:
40000 = 2500 + h^2
Now, we can solve for 'h' by subtracting 2500 from both sides of the equation:
40000 - 2500 = h^2
37500 = h^2
Finally, take the square root of both sides to find 'h':
√37500 = h
Approximately, h = 193.65 yards
Therefore, the kite is approximately 193.65 yards above the ground.