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Answered

A hockey net is 1.8 metres wide. A player stands in front of the net. The distance from the one goal post to the player is 5 metres. The distance from the other goal post to the player is 6 metres. Find the angle through which the player must shoot to score a goal.

Answer :

SOLUTION

Consider the drawing below:

The triangle shown represents the situation.

Using the law of cosines it follows:

[tex]\cos x=\frac{6^2+5^2-1.8^2}{2(6)(5)}[/tex]

Solve for x

[tex]\begin{gathered} \cos x=0.96267 \\ x=15.7 \end{gathered}[/tex]

Therefore the required angle is x=15.7

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