SOLUTION: a pole that is 6 feet tall casts a shadow that is 4 feet long. At the same time a tree casts a shadow that is 24 feet long. How tall is the tree?

Question 220997: a pole that is 6 feet tall casts a shadow that is 4 feet long. At the same time a tree casts a shadow that is 24 feet long. How tall is the tree?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A pole that is 6 feet tall casts a shadow that is 4 feet long. At the same time a tree casts a shadow that is 24 feet long. How tall is the tree?

Step 1. Assuming the pole and tree are located in the same area, then let x be the height of the tree. Using the concept of proportionality yields

Step 2. Multiply by 24 to both sides to get rid of the denominator.

Step 3. SOLUTION: The tree is 16 feet tall.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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