Question

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

Answer 1

Since:

a = 6

b = 8

We just use the Pythagorean theorem, like this:

$a^{2} +b^{2} =c^{2}$

$6^{2} 8^{2} = 100$

$\sqrt{100} = 10$

So the answer is 10 feet.

Hope this helped! c:

Answer 2

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.