## Soccer Problem

Grade:

9-12

Standards:

Math Content:

Geometry

A soccer player is on a breakaway, dribbling the ball downfield, parallel to a sideline. From where should she shoot to have the best chance of making a goal? That is, at what point will the angle formed by the player and the two goal posts be the greatest?

Copyright © 2016 KCP Technologies, a McGraw-Hill Education Company. All rights
reserved.

Release: 2015Q4Update1, Semantic Version: 4.5.0, Build Number: 1012.2-r, Build Stamp:
ip-10-149-70-76/20160225151924

- Adjust how far player C is from the the goal by dragging Point C along the light blue dotted line.
- The Show/Hide Circle buttons allow you to create a circle that will help solve the problem.
- The radius of the circle can be modified by dragging the black point on the slider labeled,
*radius of circle*. - Drag the circle around the workspace by its center point.

- The radius of the circle can be modified by dragging the black point on the slider labeled,

Drag point C so that the angle is as large as possible along that breakaway line.

Click Show Circle. Where should the circle be placed, and what should its radius be so that Player C has the best chance of making a goal? What is the relationship between point P and the circle?