High School

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**Problem 1: Kite and Ladder**

Sara is flying her kite, and it gets stuck in a tree. She knows the string on her kite is 17 feet long, and she is 7 feet from the tree. How long of a ladder (in feet) will she need to get her kite out of the tree?

- She will need a ladder that is ____ feet long. Round your answer to the nearest hundredth as needed.

**Problem 2: Television Screen Dimensions**

A flat screen television is advertised as being 59 inches on its diagonal. If the TV is 24 inches tall, then how wide is the screen?

- The screen is ____ inches wide. Round your answer to the nearest tenth as needed.

Answer :

To get her kite out of the tree, Sara will need a ladder that is approximately 18.03 feet long. The width of the screen is approximately 53.89 inches.

To calculate the length of the ladder, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the ladder represents the hypotenuse, the length of the string is one side, and the distance from the tree to Sara is the other side. So we have:

ladder^2 = string^2 + distance^2

ladder^2 = 17^2 + 7^2

ladder^2 = 289 + 49

ladder^2 = 338

ladder ≈ √338

ladder ≈ 18.03

Therefore, Sara will need a ladder that is approximately 18.03 feet long to retrieve her kite from the tree.

For the second question, if the diagonal of the TV screen is 59 inches and the height is 24 inches, we can use the Pythagorean theorem to calculate the width.

Let's denote the width as w. Using the theorem, we have:

w^2 + 24^2 = 59^2

w^2 + 576 = 3481

w^2 = 3481 - 576

w^2 = 2905

w ≈ √2905

w ≈ 53.89

Therefore, the width of the screen is approximately 53.89 inches.

Learn more about hypotenuse here:

brainly.com/question/16893462

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Rewritten by : Barada