For each problem below, answer the following question:
Are the shapes similar? If yes – prove it and give the scale factor. If no – why not?
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For each problem below, answer the following question:
Assume the shapes are similar. What is the value of the missing side?
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8. Two poles are leaned against a wall such that they make the same angle with the ground. The 18’ pole reaches 12’
up the wall. How far up the wall does the 22’ pole reach?
9. Thales was an ancient philosopher familiar with similar triangles. One story about him says that he found the height
of a pyramid by measuring its shadow and his own shadow at the same time. If the person is 5-ft tall, what is the
height of the pyramid in the drawing?
10. The scale on a map of Florida is 2 centimeters = 160 miles. The distance on the map across Florida from
Jacksonville to Pensacola is 4.4 cm. How many miles is the actual distance between Pensacola and Jacksonville?