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?

I will assume her shadow coincides with the end of the pole's shadow

let her distance from the pole be x ft
66 inches = 5.5 ft

so by ratios:
55/(x+12) = 5.5/12
5.5x + 66 = 660
5.5x = 594
x = 108
She is standing 108 ft from the pole.

To determine how far away Jeri is standing from the telephone pole, we can use similar triangles. Let's assume the distance between Jeri and the pole is represented by 'x'.

We have two similar triangles:

1. The triangle formed by Jeri's height, her shadow, and the distance from her to the pole.

2. The triangle formed by the telephone pole's height, Jeri's shadow, and the distance from her to the pole.

Using the given measurements:

Jeri's height = 66 inches
Jeri's shadow = 12 feet
Telephone pole's height = 55 feet

Now, let's set up the proportion between the corresponding sides of the two similar triangles:

(Jeri's height) / (Jeri's shadow) = (Telephone pole's height) / (Distance from Jeri to the pole)

Simplifying this proportion:

66 inches / 12 feet = 55 feet / x

Convert Jeri's height to feet:

66 inches = 66/12 feet = 5.5 feet

Plug in the values into the proportion:

5.5 feet / 12 feet = 55 feet / x

Cross-multiplying:

5.5 feet * x = 12 feet * 55 feet

Dividing both sides by 5.5 feet:

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

Simplifying:

x = 12 feet * 10 feet

x = 120 feet

Therefore, Jeri is standing approximately 120 feet away from the telephone pole.