# Cat on Ladder

- Author:
- Tuba Khan

- Topic:
- Circle

A ladder standing on a smooth floor against a wall slides down. Along what line does a cat sitting at the middle of the ladder move?
Assume that the length of the ladder is L units.
Use the ‘New point’ tool and mark a point A on the X-axis.
Use the ‘ Circle with centre and radius’ tool and draw a circle with A as the centre and L as the radius.
Use the ‘Intersect two objects’ tool and find the intersection of this circle with the Y axis. Hid the point on the negative Y axis.
Join the two points( One on the X-axis and the another on the Y axis). Use the midpoint tool and find the midpoint of this line segment. Right click on the midpoint and put the trace on.
Move the point on the X axis to see trace.