A ladder leans against a vertical wall of height 5m.if the foot of the ladder is 12m away from the wall, calculate the length of the ladder

1 answer

Given that the ladder leans against a vertical wall of height 5m and the foot of the ladder is 12m away from the wall, we can use the Pythagorean theorem to find the length of the ladder.

According to the Pythagorean theorem, the square of the hypotenuse (ladder) is equal to the sum of the squares of the other two sides. Let's assume the length of the ladder is "L".

So, by applying Pythagorean theorem, we have:

L^2 = Length of the vertical side^2 + Length of the horizontal side^2

L^2 = (5m)^2 + (12m)^2
= 25m^2 + 144m^2
= 169m^2

Taking the square root of both sides, we get:

L = √(169m^2)
= √(13^2 * m^2)
= 13m

Therefore, the length of the ladder is 13m.