Question

Solve this problem using the Pythagorean Theorem. An extension ladder with 3 five-foot extensions is leaned against a wall with the base of the ladder 5 feet from the base of the wall. How high on the wall does the top of the ladder sit?​

Answer 1

Given :-

• An extension ladder with 3 five-foot extensions is leaned against a wall with the base of the ladder 5 feet from the base of the wall.

To find :-

• How high on the wall does the top of the ladder sit?

Solution :-

Using Pythagoras Theorem ,

• 5² = 3² + h²
• 25 = 9 + h ²
• h² = 25 - 9
• h ²= 16
• h =√16
• h = ±4
• h = 4