Posted by **Gabrielle** on Thursday, April 7, 2011 at 5:09am.

A swing 5 metres long swings through a vertical angle of 50 degrees. Through what vertical distance does the seat rise in going from its lowest position to its highest?

- Maths -
**MathMate**, Thursday, April 7, 2011 at 9:22am
At the lowest point, the swing is 5m below the support.

At the half-vertical angle of 50, the swing is 5m*cos(25°) below the support.

So the vertical distance

= 5m*(1-cos(25°)

Your calculator will give you the approximation to the exact answer.

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