Kicking for goal
This task is about using trigonometry to find missing lengths.
View from side

View from top

[Not drawn to scale]
Tiaki is about to kick for goal.
He is kicking from the righthand side of the goal post from a distance of 33.0 metres, as shown in the diagrams above.
a) 
The distance between the two goal posts is 5.6 metres.
Calculate how far Tiaki is from the lefthand goal post. Show all your working in the box below.




b)

Tiaki aims his kick directly at the righthand goal post. The wind takes the ball 10° off course to the left.
i) Work out how far the ball passes to the left of the righthand goal post. Show all your working in the box below.





ii) 
Does the ball pass between the goal posts? Yes / No (Circle one)
Explain your answer. 