Answer:
The wall is 10.5 foot far from the bottom of the ladder.
Step-by-step explanation:
Given:
Height of the ladder leaning against wall (Hypotenuse) = 20 foot.
Height from where the window is above from the ground (Leg1) = 17 feet.
To find the distance of the bottom of the ladder far from the wall (Leg2) = ?
Now, by using the pythagorean theorem:
[tex]Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}[/tex]
[tex]20^{2} =17^{2}+(Leg2) ^{2}[/tex]
[tex]400=289+(Leg2)^{2}[/tex]
[tex]400-289=(Leg2)^{2}[/tex]
[tex]111=(Leg2)^{2}[/tex]
by squaring both sides
[tex]Leg2=10.535[/tex]
10.535 foot rounded nearest tenth is 10.5 foot.
Therefore, the wall is 10.5 foot far from the bottom of the ladder.
