Garrett is building a slide for his kids. If the ladder is 1 meter tall and he wants the bottom of the slide to be 4 meters from the ladder, how long does the slide need to be?

We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)

For right-angled triangle we know from Pythagoras theorem-

Base² + altitude²= hypotenuse ²

Substituting the values of base as 4 mtr and altitude as 1 m

(Hypotenuse)²= 17

∴ Hypotenuse (slide length) =4.123 mtr

∴ Length of the slide needed= 4.123 meters

monica789412 monica789412 · Answer 2 · 2020-04-01T05:39:42+02:00

The length of the slide is 4.1231 meters. If the ladder is 1 meter tall and he wants the bottom of the slide of to be 4 meters from the ladder.

Step-by-step explanation:

The given is,

the ladder is 1 meter tall

the bottom of the slide to be 4 meters from the ladder

Step:1

Let, X = Length between bottom of ladder to slider

Y = Tall of the ladder

Z = Length of the slide

Step:2

From given,

X = 1 meter

Y = 4 meters

Step:3

Ref, the diagram. It is a right angle triangle,

So, we apply Pythagoras's theorem

[tex]AC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]BC^{2}[/tex]

[tex]Z^{2}[/tex] = [tex]Y^{2}[/tex] + [tex]X^{2}[/tex]

Step:4

Substitute the X and Y values,

[tex]Z^{2}[/tex] = [tex]4^{2}[/tex] + [tex]1^{2}[/tex]

[tex]Z^{2}[/tex] = 16 + 1

[tex]Z^{2}[/tex] = 17

[tex]Z[/tex] = [tex]\sqrt{17}[/tex]

[tex]Z[/tex] = 4.123 meters

Result:

Thus the length of the slide is 4.123 meter.