Question

Elsa is flying a kite. She let out 25 meters of string. The kite is directly above a spot that is 7 meters away. How high above the ground is the kite?(solve for leg) ​

Answer 1

Answer: The kite is 24 meters above the ground.

Step-by-step explanation:

 To solve this problem you can draw a right triangle as the one shown in the figure attached, where $b$ is the height asked.

Then, you must apply the Pythagorean Theorem, which is shown below:

$a^{2}=b^{2}+c^{2}$

Where $a$ is the hypotenuse and $b$ and $c$ are the legs of the right triangle.

Now, you must solve for one the legs. Therefore, the result is:

$b=\sqrt{a^{2}-c^{2}} \\b=\sqrt{(25m)^{2}-(7m)^{2}}\\b=24m$

Therefore the kite is 24 meters above the ground.