SOLUTION: Mickey is 6 feet tall and casts a shadow 17 feet long . At the same time a nearby tree casts a shadow 102 feet long . What is the height of the tree ?

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Question 697739: Mickey is 6 feet tall and casts a shadow 17 feet long . At the same time a nearby tree casts a shadow 102 feet long . What is the height of the tree ?
Answer by Positive_EV(69) About Me  (Show Source):
You can put this solution on YOUR website!
This can be set up as a proportion, as the proportion of the height of an object to its shadow will be the same for all objects.

6:17 = x:102, where x is the height of the tree. This can also be written as

6%2F17+=+x%2F102.
102%2A6+=+17%2Ax
612+=+17%2Ax
612%2F17+=+x+=+36

The tree is 36 feet tall.