3.6: Similar Triangle Word Problems

​4.7 Similar Triangle Word Problems

Geometry

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Example A answer, be sure to include the units (put a space before entering the units).

Example B​

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Example B answer, be sure to include the units (put a space before entering the units).

Example C​

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Example C answer, be sure to include the units (put a space before entering the units).

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Question 1

A 9 foot ladder leans against a building 7 ft above the ground. At what height would a 15 foot ladder touch the building if both ladders form the same angle with the ground?

ROUND answer to the NEAREST HUNDRETH

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Question 2

When a Ferris wheel casts a 20 meter shadow, Mr. Diebold w1.8 meters tall casts a 2.4 meter shadow. How tall is the Ferris wheel?

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Question 3

A flagpole casts a shadow 28 feet long. Ms. Stilley standing nearby casts a shadow eight feet long. If Ms. Stilley is six feet tall, how tall is the flagpole.

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Question 4

A flagpole casts a shadow 24 feet long. A flower standing nearby casts a shadow 3 feet long. If the flagpole is 12 feet tall how tall is the flower?

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Question 5

Mr. Komarowski down in metal shop wants to enlarge a triangle with sides 3, 6, and 6 in. If the shortest side of the new triangle is 13 inches, how long are the other two sides?

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Question 6

A 6 foot ladder leans against a building 4 feet above the ground. At what height would a 15 foot ladder touch the building if both ladders form the same angle with the ground?

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Question 7

A giraffe is 18 feet tall and casts a shadow of 12 feet. Alexis casts a shadow of 4 feet. How tall is Alexis?

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Question 8

You are 1.56 meters tall and have a shadow that is 5 meters long. A nearby telephone pole has a shadow that measures 12.5 meters long. What is the height of the telephone pole in meters?

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Question 9

Mr. Bettin is trying to estimate the height of the school flagpole, so he can retrieve Petey the school mascot from the top of the flagpole. Mr. Bettin places a mirror on the ground 10 feet away from the base of the flagpole. Mr. Bettin is 2 feet away from the mirror when he looks in the mirror to see the top of the flagpole. If it is 6 feet from the ground to Mr. Bettin’s eyelevel, about how tall is the flagpole?

ROUND answer to the NEAREST HUNDRETH