Question

6)A 5-m-long ladder whan set against the wall of a house reaches a height of 4.8 m. How far is the foot of the ladder from the wall?

Answer 1

Answer:

the foot is 200cm far from the house

Answer 2

Answer:

the foot of the ladder is 1.4m far from wall

Step-by-step explanation:

given that :

length of a ladder is 5m = L

ladder is set against the wall of a house , it reaches a height of 4.8m

it means that height of the wall is 4.8m  =H

we need to find  How far is the foot of the ladder from the wall

let the distance of foot of ladder from wall is D

here, the wall of house makes 90° exactly with the ground and ladder is some far from wall on the same ground.

consider pythagoras theorem :

(length of ladder set against wall)² = (height of wall)² + (distance of foot of ladder from wall)²

⇒ L² = H² + D²

⇒ substitute values of L and H  in above equation:

⇒ (5m)² = (4.8m)² + D²

⇒ 25m² = 23.04 m² + D²

⇒ D² = (25-23.04)m²

⇒ D² = 1.96 m²

⇒ D =  1.4m

so distance of foot of ladder from wall is 1.4m