SOLUTION: What formula should I use to find the answer to this problem: The base of a 22ft ladder is 8ft from a house. Approximately how far above the ground is the top of the ladder? I dr

Algebra ->  Triangles -> SOLUTION: What formula should I use to find the answer to this problem: The base of a 22ft ladder is 8ft from a house. Approximately how far above the ground is the top of the ladder? I dr      Log On


   

Question 410317: What formula should I use to find the answer to this problem: The base of a 22ft ladder is 8ft from a house. Approximately how far above the ground is the top of the ladder? I drew it and saw that it formed a triangle, but I am not sure if I am supposed to be finding the other side or when I do should I subtract it from 22.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can use the pythagorean theorem.
Let h = vertical height of top of ladder
h%5E2+%2B+8%5E2+=+22%5E2
h%5E2+=+22%5E2+-+8%5E2
h%5E2+=+484+-+64
h%5E2+=+420
h+=+20.5 ft
check answer:
8%5E2+%2B+20.5%5E2+=+484.25 close enough