To find the height of the kite above the pond, we can use the Pythagorean Theorem. In this scenario, the string of the kite acts as the hypotenuse of a right triangle, where:
- The height of the kite above the pond is one leg of the triangle (let's call this \( h \)).
- The distance from the point where the kite is tied to the ground to the edge of the pond is the other leg of the triangle (which is 36 yards).
- The length of the string (38 yards) is the hypotenuse.
According to the Pythagorean theorem:
\[ h^2 + 36^2 = 38^2 \]
Now we can substitute the values:
\[ h^2 + 1296 = 1444 \]
Next, we subtract 1296 from both sides:
\[ h^2 = 1444 - 1296 \] \[ h^2 = 148 \]
Now, we take the square root of both sides to find \( h \):
\[ h = \sqrt{148} \]
Now, we can simplify \( \sqrt{148} \):
\[ \sqrt{148} = \sqrt{4 \times 37} = 2\sqrt{37} \]
Now we can calculate \( \sqrt{37} \) using a calculator, which is approximately 6.08.
So,
\[ h \approx 2 \times 6.08 \approx 12.16 \text{ yards} \]
Thus, the height of the kite above the pond is approximately 12.16 yards.