SOLUTION: a ladder 25 ft long leans against a building.If its foot is 10 ft from the building,how high does it reach the building?

Algebra ->  Pythagorean-theorem -> SOLUTION: a ladder 25 ft long leans against a building.If its foot is 10 ft from the building,how high does it reach the building?      Log On


   



Question 328702: a ladder 25 ft long leans against a building.If its foot is 10 ft from the building,how high does it reach the building?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 + b^2 = c^2, where a and b are legs and c is the hypotenuse!

In this case, the ladder is the hypotenuse, so c= 25.

10^2 + b^2 = 25^2
100 + b^2 = 625

Subtract 100 from each side:
b^2 = 525
b= sqrt%28525%29+
b= 22.91 feet approximately

I have a COMPLETE explanation of Theorem of Pythagoras in my own curriculum that I'm giving away FREE on my own website! To see this website, click on my tutor name "rapaljer" anywhere in algebra.com. Click on my website name that you will see there, and look on my Homepage for "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra" and look in "Chapter 2" for "Section 2.10 Theorem of Pythagoras." These are my own explanations that are written especially for students who have trouble with math!

In addition, many of my exercises are solved in my "Math in Living Color" pages that accompany each of these sections.

I hope you like my curriculum. I have other topics as well. When I was teaching, my own students were unanimous that my explanations were a LOT easier to understand than the traditional textbooks. If you like it, please recommend it to your family and friends who need help with math!! Like algebra.com, it's all FREE!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus