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How can you solve real world problems using the triangle proportionality theorems?

How can you solve real world problems using the triangle proportionality theorems?

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Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
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You can determine values that you can't directly measure.
 
E.g., on a sunny day you can measure the length of your shadow and a tree's shadow.
 
You can also measure your height; but you can't directly measure the tree's height (easily).
 
Using similar triangles whose sides are proportional you can calculate the height of the tree.