A ladder 3.5 M long is placed
agamst a perpendicular wall with
its foot I metre from the wall.
How far up the wall does the
ladder reach. If the foot of the
ladder is now moved 30 cm
further away from the wall how
far does the top of the ladder falls.

To find out how high the ladder reaches on the wall, you can use the Pythagorean theorem. The ladder forms a right-angled triangle with the wall and the ground. With the ladder being 3.5 m long and its foot 1 m away from the wall, you can calculate the height using the formula: . This gives you a height of approximately 3.4 m.

Now, when you move the foot of the ladder 30 cm (0.3 m) further away from the wall, the new distance from the wall becomes 1.3 m. Using the same theorem, , you’ll find that the height is now about 3.2 m. Therefore, the top of the ladder falls by approximately 0.2 m or 20 cm.