Question

A ladder rests on a pole such that the base of the
ladder is 27 dm away from the base of the pole. The
top of the ladder touches the top of the pole at a
height of 120 dm. find the length of the ladder.​

Answer 1

Answer :

The length of the ladder is 123dm

Step-by-step explanation :

To Find,

• The length of the ladder .... ( ? )

Given that,

• Perpendicular of the ladder = 120dm

• The base of the ladder is 27 dm away from the base of the pole.

Solution,

Let us find the length of the ladder by applying Pythagoras theorem

H² = P² + B²

Where,

• H = Hypotenuse
• P = Perpendicular
• B = Base

Therefore, the length of the ladder is

By putting the values,

↬ H² = ( 120 )² + ( 27 )²

↬ H² = 14400 + 729

↬ H² = 15129

↬ H = √ 15129

↬ H = 123

∴ Hence, the length of the ladder is 123dm.