<PRE><B>Question 220997</B>
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


{{{4/6=x/24}}}


Step 2.  Multiply by 24 to both sides to get rid of the denominator.


{{{24*4/6=24*x/24}}}


{{{16=x}}}


Step 3. SOLUTION:  The tree is 16 feet tall.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J</PRE>