SOLUTION: A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder?

Algebra ->  Expressions-with-variables -> SOLUTION: A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder?      Log On


   

Question 170464This question is from textbook Introductory Algebra
: A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder? This question is from textbook Introductory Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder?
.
Apply Pythagorean's theorem:
Let H = height of top of ladder
.
H^2 + 5^2 = 10^2
H^2 + 25 = 100
H^2 = 75
H = sqrt(75)
H = 8.66 m