Pipeline is laid underwater fro a offshore drilling platform (210,57) to the closest point on shore. The shore is a straight line, and joins the refinery at (150,305) to the harbour at (215,-20). Find the distance the oil will flow from the offshore platform to the shore.

The line equation that represents

the distance between the harbor

and the refinery is



We need the shortest distance from this line to the point (210,57) at the oil platform.

Use the distance from a point to a line formula:



Where.

A, B, C are the coefficients in the line equation. Where the line equation has standard form



plug and chug.

So what's the distance the oil will flow from the platform to the shore?

You're welcome.

Use the formula I gave you. I done everything else, all you have to do is enter the given values.