Question

55. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?ע86Seaside. 42-8 642468xLandviewOceanfront6-8A. about 8 milesB. about 10 milesC. about 50 milesD. about 40 miles

Answer 1

Given:

The coordinates of the Oceanfront, (x1, y1)=(3, -2).

The coordinates of the Seaside, (x2, y2)=(-2,4).

The distance between the points corresponding to Oceanfront and Seaside is,

`\begin{gathered} D=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ =\sqrt[]{(-2-3)^2+(4-(-2)^2} \\ =\sqrt[]{(-5)^2+6^2} \\ =\sqrt[]{25+36} \\ =\sqrt[]{61} \end{gathered}`

It is given that one unit represents 5 miles.

So, the actual distance between Oceanfront and Seaside is,

`\begin{gathered} d=5D \\ =5*\sqrt[]{61} \\ \cong40\text{ miles} \end{gathered}`

Therefore, actual distance between Oceanfront and Seaside is about 40 miles.