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Imagine the dot starts at the point (1,0) and turns anticlockwise.
Estimate the height of the dot above the horizontal axis
after it has turned through 45°.
Estimate the angle that the dot needs to turn in order to be
exactly 0.5 units above the horizontal axis.
Show how you can use Pythagoras' Theorem to calculate the height of
the dot above the horizontal axis after it has turned
through 45°.
Can you show how to use Pythagoras' Theorem to calculate the height
of the dot above the horizontal axis after it has turned
through 30° and 60°?
Can Pythagoras' Theorem help you to calculate the height of the dot
above the horizontal axis after it has turned through any other angles?