a 5 ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the base of the wall so that the top of laddet rests at the top of wall?

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01-10-2014
Mathematics

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a 5 ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the base of the wall so that the top of laddet rests at the top of wall?

Sagot :

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Iloveonedirectionidn Iloveonedirectionidn · Answer 1 · 2014-10-09T20:59:20-04:00

Iloveonedirectionidn Iloveonedirectionidn

09-10-2014

To solve this, sketch a diagram (I attached one). You will see it the wall and ladder and ground form a right triangle. Use the Pythagorean Theorem to find the base.

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+4^2=5^2 \\ \\ a^2+16=25 \\ \\ a^2=9 \\ \\ \sqrt{a^2} = \sqrt{9} \\ \\ a=3[/tex]

The bottom of the ladder must be 3 feet from the base of the wall.

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