The length of the slide has a height of 6 feet and the base of 10 feet would be equal to the nearest whole number 12 feet.
The ratio of the height of the slide and the distance from the base of the ladder to the front of the slide is 3 : 5.
The height of the slide is 6 feet.
The base of the ladder is 10 feet.
What is Pythagoras Theorem?
The Pythagoras is the sum of the square of two sides which is equal to the square of the longest side.
From the Pythagoras Theorem,
[tex]\rm a^{2} =b^{2} +c^{2} \\\rm a^{2} =10^{2} +6^{2} \\\rm a^{2} =100+36\\\rm a = \sqrt{136} \\\rm a = 11.6619\\\rm a=12[/tex]
By round off up to nearest whole number. The length of the slide would be 12 feet.
Learn more about the Pythagoras Theorem here:
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