a ladder with a length of 5m is placed at an angle against a wall. the bottom of the ladder is 1,5m away from the wall. how far up the wall will the ladder reach? round your decimal of to two decimal places.

Answer 1

We can use the Pythagorean theorem to solve this problem. According to the theorem, the square of the ladder's length (hypotenuse) is equal to the sum of the squares of the distances it reaches along the wall (height) and away from the wall (base).

Let's assume that the ladder reaches a height of H meters.

Therefore, we can write the equation:

5^2 = 1.5^2 + H^2

Simplifying:

25 = 2.25 + H^2

H^2 = 25 - 2.25

H^2 = 22.75

H ≈ √22.75

H ≈ 4.77

Therefore, the ladder will reach approximately 4.77 meters up the wall rounded to two decimal places.