a ladder is leaning against a building the base of the ladder is 6 feet from the building and the top of the letter rests on the building 8 feet above the ground what is the length, in feet of the ladder

Respuesta :

Remark

This is an application of the Pythagorean Theorem. The formula you will be using is a^2 + b^2 = c^2 and you are looking for c


Givens

a = 6

b = 8

c = ??


Sub and solve

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

sqrt(c^2) = sqrt(100)

c = 10


The length of the ladder is 10 feet.


Since:


a = 6

b = 8


We just use the Pythagorean theorem, like this:


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

[tex] 6^{2} 8^{2} = 100 [/tex]

[tex] \sqrt{100} = 10 [/tex]


So the answer is 10 feet.


Hope this helped! c:

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