SOLUTION: At a certain time of the day, a vertical yardstick casts a 15-inch shadow.What is the height in feet of a flagpole that casts a shadow 20 feet long at the same time of the day?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: At a certain time of the day, a vertical yardstick casts a 15-inch shadow.What is the height in feet of a flagpole that casts a shadow 20 feet long at the same time of the day?      Log On

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Question 310281: At a certain time of the day, a vertical yardstick casts a 15-inch shadow.What is
the height in feet of a flagpole that casts a shadow 20 feet long at the same time
of the day?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use a ratio
You know that a yardstick is 3 feet long.
Also the yardstick shadow is given in inches, and the flagpole shadow is given in feet. We need to convert inches to feet.
The yardstick shadow is 15/12 feet
So
3%2F%2815%2F12%29+=+PoleHeight%2F20
60%2F%2815%2F12%29+=+Poleheight
60%2A12%2F15+=+PoleHeight
4%2A12+=+PoleHeight
48+=+PoleHeight
The flagpole is 48 feet tall