)) Two window washers, Hector and Michael, lean a ladder against the side of a building so
that Hector can wash a window while Michael holds the ladder. The top of the ladder reaches
the window, which is 12 feet off the ground. The base of the ladder is 9 feet away from the
building, How long is the ladder?

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Work Shown:

Refer to the diagram below.

a = 12 and b = 9 are the legs of the right triangle

c = unknown hypotenuse, which is the length of the ladder.

Use the Pythagorean theorem to solve for c

a^2+b^2 = c^2

12^2+9^2 = c^2

144+81 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

The ladder is 15 feet long.

mxb67

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .