its Application of Radicals and Pythagorean Theorem And my question is in the descripttion

Question

Here is my question George is flying a kite. He let out 53ft of string and attached the string to a stake in the ground. The kite is now directly above his brother who is 28 ft away from him. Find how the kite is flying

Answer 1

"Find out how high the kite is flying."

 

First, draw a picture.  The distance on the ground is 28 ft.  There is 53 ft (the hypotenuse of the right triangle) of string.  The kite is "directly above his brother," which forms a 90° angle with the ground for the right triangle.

 

The Pythagorean Theorem states:

    c² = a² + b²       [where c is the hypotenuse; a and b are the legs]

   (53)² = (28)² + b²         [plug in values]

  2809 = 784 + b²

  2025 = b²                    [subtract 784 from both sides]

  √2025 =√b² = b            [take the square root of both sides]

    b = 45 feet