The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach? A) 8 feet B) 10 feet C) 12 feet D) 18

We can Notice from the Diagram that the Ladder with Wall Forms a Right Angled Triangle.

We know that In A Right Angles Triangle:

(Hypotenuse) ² = (First Leg) ² + (Second Leg) ²

Here the Hypotenuse is the Length of Ladder and One of the Leg is Length away from the Wall

Substituting the Respective Values, We get:

⇒ 5² + (Second Leg) ² = 13²

⇒ 25 + (Second Leg) ² = 169

⇒ (Second Leg) ² = 169 - 25

⇒ (Second Leg) ² = 144

⇒ Second Leg = 12 Feet

⇒ The Ladder reaches a Height of 12 Feet

Option C is the Answer