A 25 m ladder rests against a wall with its foot 7 m from the wall.
If the foot is pulled 8 m further from the wall (now 15 m away), how far DOWN the wall does the top of the ladder slide?

Question

A 25 m ladder rests against a wall with its foot 7 m from the wall. If the foot is pulled 8 m further from the wall (now 15 m away), how far DOWN the wall does the top of the ladder slide?

Accepted Answer

4. First: top height = √25^2 - 7^2 = √625 - 49 = √576 = 24 m. After: top height = √25^2 - 15^2 = √625 - 225 = √400 = 20 m. The top slides down 24 - 20 = 4 m.

A 25 m ladder rests against a wall with its foot 7 m from the wall.
If the foot is pulled 8 m further from the wall (now 15 m away), how far DOWN the wall does the top of the ladder slide?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Pythagoras Property practice

A 25 m ladder rests against a wall with its foot 7 m from the wall.If the foot is pulled 8 m further from the wall (now 15 m away), how far DOWN the wall does the top of the ladder slide?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Pythagoras Property practice

A 25 m ladder rests against a wall with its foot 7 m from the wall.
If the foot is pulled 8 m further from the wall (now 15 m away), how far DOWN the wall does the top of the ladder slide?