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.

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.