The distance between ladder and bottom of the slide is 4.9 meters.
Step-by-step explanation:
Given,
Height of ladder = 1 m
Length of slide = 5 m
The ladder will serve as perpendicular and slide will serve as hypotenuse.
The distance from bottom of the slide to ladder will be base.
a = 1
c = 5
[tex]a^2+b^2=c^2\\(1)^2+b^2=(5)^2\\1+b^2=25\\b^2=25-1\\b^2=24[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{24}\\b=4.89[/tex]
Rounding to the nearest tenth
b = 4.9 meters
The distance between ladder and bottom of the slide is 4.9 meters.
Keywords: square root, base
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