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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

Sagot :

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

How to find the height of the tree?

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 the sum of the squares of the catheti is equal to the square of the hypotenuse.

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:

https://brainly.com/question/2217700

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