When using an 8 m aluminum ladder, how far should the foot of the ladder be placed from the wall of the building?

To determine how far the foot of the ladder should be placed from the wall, one can use the principles of right triangles, specifically the Pythagorean theorem. In this scenario, the ladder acts as the hypotenuse of a right triangle, where the distance from the wall is one leg (let's call it 'a') and the height at which the ladder reaches the wall is the other leg ('b').

Given that the ladder is 8 meters (the hypotenuse), there's an established guideline for safe ladder placement, specifically that the base of the ladder should be positioned about a quarter of the ladder's length away from the wall. This ratio ensures stability and safety while using the ladder.

Calculating a quarter of the ladder's length:

1/4 of 8 meters is 2 meters.

Thus, the correct distance to safely place the foot of the ladder from the wall is 2 meters. This distance strikes a balance between maintaining the stability of the ladder against the wall and allowing adequate reach to the top.