A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correctly find the length of the tree's shadow?
Question
A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correctly find the length of the tree's shadow?
Solution
The proportion that would correctly find the length of the tree's shadow is set up by comparing the ratio of the height to the shadow length for both the flagpole and the tree. This is based on the principle of similar triangles, where corresponding sides are in proportion.
The ratio for the flagpole
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