A ladder 50 dm long when set against the wall of a house just reaches a windowat a height of 48 dm H...

Question

A ladder 50 dm long when set against the wall of a house just reaches a windowat a height of 48 dm How far is the lower end of the ladder from the base of the wall

Accepted Answer

R D Sharma Solutions - Mathematics - Class 7 chapter Properties of Triangle Question 10 Solution image

Given that length of a ladder is 50dm

Let the distance of the lower end of the ladder from the wall be x m.

By using the Pythagoras theorem, we get

x^2 + 48^2 = 50^2

x^2 = 50^2 − 48^2

= 2500 – 2304

= 196

H = 14 dm

Hence, the distance of the lower end of the ladder from the wall is 14 dm.

RD Sharma Solutions Class 7 Mathematics Solutions for Properties of Triangle Exercise 15.5 in Chapter 15 - Properties of Triangle