A telephone pole is 55 feet tall. Jeri stands in the shadow of the pole. She is 66 inches tall, gut her shadow is 12 feet long. How far away from the telephone pole is she standing?

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To find the distance Jeri is standing away from the telephone pole, we can use similar triangles. Let's assume that x represents the distance Jeri is standing away from the pole.

In a similar triangle, the corresponding sides are proportional. In this case, the height of the telephone pole, the length of Jeri's shadow, and Jeri's height form a proportion:

(Height of telephone pole) / (Length of Jeri's shadow) = (Distance Jeri is standing away from the pole) / (Jeri's height)

Therefore, we can set up the equation:

55 feet / 12 feet = x / 66 inches

Now let's convert Jeri's height from inches to feet:

Jeri's height = 66 inches * (1 foot / 12 inches) = 5.5 feet

Substituting these values into the equation, we have:

55 feet / 12 feet = x / 5.5 feet

To solve for x, we can cross-multiply:

12 feet * x = 55 feet * 5.5 feet

x = (55 feet * 5.5 feet) / 12 feet

x ≈ 25.208 feet

Therefore, Jeri is standing approximately 25.208 feet away from the telephone pole.