Question

The top of a lader rest along a wall at a height of 3.2m
from the ground its lower and is at distance of 2.4m
from the wall find the lenght of a ladder ?​

Answer 1

Given:

• Height of the wall = 3.2 m
• Distance between the bottom of the ladder and the wall = 2.4 m

To find:

• Length of the ladder.

Solution:

We can find the length of the ladder using $\underline {\mathcal {\red {Pythagoras\ Theorem}}}$

H² = P² + B²

As per the given question,

• H (Hypotenuse) is the length of the ladder
• P (Perpendicular) is the height of the wall
• B (Base) is the distance between the bottom of the ladder and the wall

Substitute the values,

H² = (3.2)² + (2.4)²

H² = 10.24 + 5.76

H² = 16

H = √16

$\boxed {\bf {\pink {H = 4\ m}}}$

Length of the ladder:

Length of the ladder is 4 m.