if the ladder is 10m long and 5 m from the base of the building how high up will the ladder reach
Using the Pythagorean theorem (a^2 + b^2 = c^2), where "a" is the height of the building (unknown), "b" is the distance from the base of the building to the ladder (5m), and "c" is the length of the ladder (10m), we can calculate the height of the ladder.
a^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100 - 25
a^2 = 75
a = √75
a ≈ 8.66m
Therefore, the ladder will reach approximately 8.66 meters up the building.