SOLUTION: Miguel is 180 cm tall. At 2:00 P.M. one day, his shadow is 60 cm long, and the shadow of a nearby fence post is t cm long. In terms of t, what is the height in cm of the fence post

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Miguel is 180 cm tall. At 2:00 P.M. one day, his shadow is 60 cm long, and the shadow of a nearby fence post is t cm long. In terms of t, what is the height in cm of the fence post      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 24941: Miguel is 180 cm tall. At 2:00 P.M. one day, his shadow is 60 cm long, and the shadow of a nearby fence post is t cm long. In terms of t, what is the height in cm of the fence post?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = height of the fence post, and set up a ratio:
%28Height%29%2F%28Shadow%29+=+180+%2F60+=+x%2Ft

a%2Fb+=+c%2Fd means that +ad=+bc
180%2F60+=+3%2F1+=+x%2Ft so 3t=+x

x= 3t = height of the fence post in centimeters.

R^2 at SCC