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?
To find out how far away Jeri is standing from the telephone pole, we can use a proportion.
Let's denote the distance Jeri is standing from the telephone pole as 'x'.
According to the given information, we have the following proportions:
Jeri's height / Jeri's shadow length = Telephone pole's height / Distance between Jeri and the pole
Converting all the measurements to the same unit, we have:
66 inches / 12 feet = 55 feet / x
To simplify the equation, we need to convert one of the units to match the other.
Since 1 foot is equal to 12 inches, we can convert the 12 feet into inches:
12 feet * 12 inches/foot = 144 inches
Therefore, the equation becomes:
66 inches / 144 inches = 55 feet / x
To solve for x (the distance Jeri is standing from the pole), we can cross-multiply:
66 inches * x = 144 inches * 55 feet
Now, let's convert the feet into inches:
55 feet * 12 inches/foot = 660 inches
The equation becomes:
66 inches * x = 144 inches * 660 inches
To solve for x, divide both sides of the equation by 66 inches:
x = (144 inches * 660 inches) / 66 inches
Calculating this expression, we get:
x ≈ 1440 inches
Therefore, Jeri is standing approximately 1440 inches away from the telephone pole.