Question

In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.





Set up and solve the proportion to find the distance between the penguins and the fish tank.

(3 points)
Set up the proportion: 5430=



NOTE: Type the correct fraction into the box to receive credit.

Cross Multiply: 30x=



NOTE: Type the correct numerical answer into the box to receive credit.

Solve for x: x=

feet

NOTE: Type the correct numerical answer into the box to receive credit.

Answer 1

To set up a proportion to find the distance between the penguins and the fish tank, we first need to define the distances from the whales to the sharks (which we'll call \(d_1\)) and from the penguins to the fish tanks (which we'll call \(d_2\)). We'll assume you've given the following distances:

- Distance from whales to sharks (\(d_1\)): 5430 feet
- Distance from penguins to fish tanks (\(d_2\)): \(x\) feet

Since the paths are parallel, we can set up our proportion as follows:

\[
\frac{d_1}{d_2} = \frac{30}{x}
\]

This means we have:

\[
\frac{5430}{x} = \frac{30}{x}
\]

Now we can cross multiply to set up the equation:

\[
30x = 5430
\]

Next, we will solve for \(x\):

\[
x = \frac{5430}{30}
\]

Calculating the right side gives us:

\[
x = 181
\]

Therefore, the distance between the penguins and the fish tank is:

**181 feet**.