# Optimal shot on goal

Calculus Level 4

In a soccer match, the striker $($point $S)$ has beaten all defenders and is running parallel to the sideline towards the goal line. At what distance $x$ from the goal line should the striker shoot at the goal for the best chance of a goal? Give the result in meters and round to one decimal place.


Details and Assumptions:

• The striker will shoot the ball in a straight line on the ground.
• The striker isn't perfectly accurate, so his shot may be slightly off from where he intends.
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