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Pythagorean theorem

How far from the wall should Zachary position the bottom of the ladder so that the top reaches the window ledge?

(PHOTO)

Pythagorean theorem How far from the wall should Zachary position the bottom of the ladder so that the top reaches the window ledge PHOTO class=

Respuesta :

The answer is 8 because you take 17x17 and 15x15. Since 17 times 17 is your c, you subtract your answer of 17 times 17 from 15x15 which could be labeled as a/b to get your answer of 8 because you have to square root the number after subtracting both numbers. Hope this helped.
10n31y

As the question suggests, we need to use Pythagorean Theorem!

[tex]a^{2}\ +\ b^{2}\ = c^{2}[/tex]

You are given the hypotenuse and one of the sides therefore you need to rearrange your formula like so:

[tex]a^{2}=c^{2}-b^{2}[/tex]

Substitute your values and solve.

[tex]a^{2}=17^{2}-15^{2}\\a^{2}=289-225 \\a^{2}=64\\\sqrt{a^{2}} =\sqrt{64} \\[/tex]

a = 8 meters

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