Respuesta :

Answer: 13m

Step-by-step explanation:

Use Pythagorean theorem: a²+b²=c²

5²+12²=c²

25+144=c²

c²=169

c=13 (even if it is true that there are positive and negative solution, but length cannot be negative)

Given:

  • A ladder is leant against a wall of height 5m.
  • The foot of ladder is 12m away from the wall.

To Find:

  • The length of ladder.

Concept Used:

  • We will use Pythagoras Theorem.

Answer:

Here given

  • Vertical height = 5m.
  • Base = 12m.

Here the length of ladder is equal to hypotenuse of ∆ so formed.

Now in a right angled ∆ ,

=> (hypotenuse)² = (pependicular)²+(base)².

=> h ² = (12m)²+(5m)²

=> h² = 144m² + 25m².

=> h² = 169m².

=> h = √169m².

=> h = 13m.

Hence the required answer is 13m.