Page 182 - ABCTE Study Guide_Neat
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B 16 inches
C 28 inches
D 56 inches
Answer
The correct answer is A. The number of inches on the drawing is half the number of feet in reality, so
divide 28 by 2.
Similar Triangles
With similar triangles and other similar figures, the lengths of the sides in the figures are in proportion to
each other. There are a number of ways to set up the proportion for these types of problems, and the key
is to keep like information together.
These are also similar triangles:
Let's see how these work in practice. We'll start with an old favorite.
A 25-foot tall flagpole is casting a shadow 30 feet long. A person standing nearby casts a shadow 7 feet
long. How tall is the person?
Start by making a sketch:
Next, choose how to set up the proportion and solve it.