Math CentralQuandaries & Queries


Question from Kim:

Two goal posts are 8m apart. A footballer is 34m from one post and 38m from the other. Within what angle must he kick the ball if he is to score a goal.

Hi Kim,

I drew a diagram of what you described. The angle you require has measure $\theta$ degrees.


Do you know a trig formula that involves the lengths of the three sides of a triangle and the measure of one of the angles?


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