Question

A map of a park is shown below. What is the distance between the cave entrance and the canoe rentals on the map? y 5 Cave Entrance 3 Canoe Rentals 2 1 1 x -5 -4 -3 -2 -1 0 1 2 3 4 5 -2 Campsite بنا 4 =5

Answer 1

Look at the graph. You can identify that the Cave entrance is located at this point:

`\mleft(-2,2\mright)`

And the Canoe rentals is located at this point:

`\mleft(3,4\mright)`

In order to calculate the distance between two points, you can use the following formula:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

You can set up that:

`\begin{gathered} x_2=3 \\ x_1=-2 \\ y_2=4 \\ y_1=2 \end{gathered}`

Substitute the corresponding coordinates into the formula and evaluate:

`\begin{gathered} d=\sqrt[]{(3-(-2))^2+(4-2)^2} \\ d=\sqrt[]{29}\text{ units} \\ d=5.38\text{ units} \end{gathered}`

The distance between the Cave entrance and the Canoe rentals is 5.38 units.