Answered

Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

A 5-ft ladder rests against the side of a house. The distance between the top of the ladder and the ground is 1 ft more than the distance between the base of the ladder and the bottom of the house. Find both distances.

Sagot :

DWReadidn

Answer:

Step-by-step explanation:

base of ladder is x feet from house

top of ladder is x+1 feet from ground

By the Pythagorean Theorem,

x² + (x+1)² = 5²

x² + (x² + 2x + 1) = 25

2x² + 2x - 24 = 0

x = -4, 3

-4 is an extraneous solution, so x = 3 ft

base of ladder is 3 feet from house

top of ladder is 4 feet from ground

View image DWRead
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.