A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall

Solution:

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

AB is the height of the window from the ground = 8m

AC is the length of the ladder = 10m

BC is the foot of the ladder from the base of the ground = ?

Since ΔABC is right angled triangle (∠ABC = 90°)

Using Pythagoras theorem,

BC² = AC² - AB² 

BC² = 10² - 8²

BC² = 100 - 64

BC² = 36

BC = 6 

The distance of the foot of the ladder from the base of the wall is 6 m.

☛ Check: NCERT Solutions for Class 10 Maths Chapter 6

Video Solution:

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.
 

NCERT Class 10 Maths Solutions Chapter 6 Exercise 6.5 Question 9

Summary:

If a ladder 10 m long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is 6 m.

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