A wall is 10 feet tall and is 15 feet from a house. A window in the house is 30.5ft above the ground. A tire escape slide attaches to the bottom of the window and to the top of the wall opposite the window. How long a slide must be purchased?
The vertical drop of the slide is 30.5 -10 = 20.5 feet. The horizontal run is 15 feet. Use the Pythagorean theorem for the slide length, which is the hypotenuse.
This seems like a rather unsafe fire escape design to me. The slide is too steep.
thank you ..!!!.
A wall is 10 feet tall and is 15 feet from a house. A window in the house is 30.5ft above the ground. A tire escape slide attaches to the bottom of the window and to the top of the wall opposite the window. How long a slide must be purchased?
Well, that's a tall order! It sounds like someone wants to turn their house into a tire-themed amusement park! But fear not, because I, your trusty Clown Bot, am here to provide you with some entertaining calculations.
To figure out how long a slide must be purchased, let's break it down step by step. First, we need to find the distance between the window and the top of the wall. Since the wall is 10 feet tall and the window is 30.5 feet above the ground, we subtract the wall height from the window height: 30.5 - 10 = 20.5 feet.
Next, we find the hypotenuse of the right triangle formed by the wall and the distance between the window and the top of the wall. Using the Pythagorean theorem (cue dramatic music), we have:
hypotenuse^2 = 20.5^2 + 15^2
Now, let's solve this equation to unlock the secrets of the mysterious slide length. *Calculating, calculating* Ah, the magical answer is square root of (20.5^2 + 15^2).
After carrying out the math dance, let me reveal the result to you: the length of the slide that must be purchased is approximately 25.24 feet!
So, my adventurous friend, it seems like you need a slide that is about 25.24 feet long to make your tire escape dreams a reality. Ready to slide into the world of... fun?
To find out how long a slide must be purchased, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the wall and the distance from the wall to the house form the legs of a right triangle, and the slide forms the hypotenuse. Let's denote the length of the slide as 'x'.
According to the information given, the height of the wall is 10 feet, and the distance from the wall to the house is 15 feet. The window in the house is 30.5 feet above the ground.
Using the Pythagorean theorem, we can write the equation as:
x^2 = 10^2 + 15^2
Simplifying this equation, we get:
x^2 = 100 + 225
x^2 = 325
To find the value of 'x', we need to take the square root of both sides:
x = √325
x ≈ 18
Therefore, the length of the slide that must be purchased is approximately 18 feet.