Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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 :

DWRead

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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.