Sara is flying her kite and it gets stuck in a tree. She knows the string on her kite is 14 feet long and she is 6 feet from the

Question

ZanzabumX [31]

3 years ago

12

Sara is flying her kite and it gets stuck in a tree. She knows the string on her kite is 14 feet long and she is 6 feet from the

tree. How long of a ladder (in feet) will she need to get her kite out of the tree

Mathematics

1 answer:

iren2701 [21] · Answer 1 · 2022-10-18T22:23:02+03:00

By comparing the situation with a right triangle, we will see that she needs a 12.65 ft tall ladder.

<h3></h3><h3>How to find the height of the tree?</h3>

We can think of this situation as a right triangle, where the string on the kite is the hypotenuse, her distance to the tree is a cathetus, and the other cathetus is the height of the tree.

Remember Pythagoras's theorem, which says that<em> </em><u><em>the sum of the squares of the catheti is equal to the square of the hypotenuse.</em></u>

Then, we have:

Hypotenuse = 14ft
Cathetus1 = 6ft

And we want to find the other cathetus, let's call it x for the moment, then we have:

x^2 + (6ft)^2 = (14 ft)^2

Solving for x we get:

x = √( (14 ft)^2 - (6ft)^2) = 12.65 ft

This means that she would need to get a ladder that is 12.65 ft tall.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700