Question

How far in front of the goal should this goalie be?

A soccer goalie wishes to block an opponent shot moves towards the shooter to reduce the shooter's view of goal. if the goalie can only defend a region 10 ft wide, how far in front of the goal should the goalie be?

Answer 1

10.5 ft

Explanation:

We can use similar triangles. Notice that the triangle formed between the Shooter and the net has two bases (18 ft from shooter to near corner, and 24 ft of net - each yard being 3 ft). We have a similar triangle between the distance between the shooter and the goalie (`x` ft) and the 10 ft of distance the goalie can cover:

`18/24=x/10`

`24x=180=>x=7.5`

This means the goalie needs to stand `18-7.5=10.5` ft in front of the goal.