Each unit on the map represents 5 miles. What is the actual distance from ocean front to seaside?

Solution:

From the figure, we see that the coordinates of oceanfront are (3, -2) and coordinates of seaside are (-2, 4)

Let us use the distance formula

\(\\d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\ \\Let\: us \: substitute\: the \: values \\ \\d=\sqrt{(-2-3)^{2}+(4-(-2))^{2}} \\ \\d=\sqrt{(-5)^{2}+6^{2}} \\ \\d=\sqrt{25+36}\)

So we get,

d = √61

We know that the map represents 5 miles

So the distance from oceanfront to seaside is

d = 5 × √61

d = 39.05125

d ≈ 40 miles

Therefore, the actual distance from oceanfront to seaside is 39.05125 miles or we can approximately say 40 miles.

Each unit on the map represents 5 miles. What is the actual distance from ocean front to seaside?

Summary:

Each unit on the map represents 5 miles. The actual distance from oceanfront to seaside is 39.05125 miles or we can approximately say 40 miles.