A 7,5m ladder is placed with its lower end 2m away from the wall. How high up the wall does the ladder reach?

Use the Pythagorean theorem:

Let x = the height.

2^2 + x^2 = 7.5^2

Simplify:

4 + x^2 = 56.25

Subtract 4 from both sides:

x^2 = 52.25

Take the square root of both sides:

x = 7.2284 m Round the answer as needed.