SIMILAR TRIANGLES WITH INDIRECT MEASUREMENT WORKSHEET

In each figure, find x.

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

An office building 55 ft tall casts a shadow 30 ft long. How tall is a person standing nearby who casts a shadow 3 ft long?

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Problem 8 :

A 20 ft pole casts a shadow 12 ft long. How tall is a nearby building that casts a shadow 20 ft long?

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Problem 9 :

A fire tower casts a shadow 30 ft long. A nearby tree casts a shadow 8 ft long. How tall is the fire tower if the tree is 20 ft tall?

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Problem 10 :

A house casts a shadow 12 m long. A tree in the yard casts a shadow 8 m long. How tall is the tree if the house is 20 m tall?

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Problem 1 :

Use similar triangles to find the height of the building.

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Problem 2 :

Use similar triangles to find the height of the tree.

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Problem 3 :

A lamppost casts a shadow that is 15 yards long. A 3 foot tall mailbox casts a shadow that is 5 yards long. How tall is the lamppost?

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Problem 4 :

An 8 foot tall statue stands in the park and casts a shadow that is 16 feet long. A dog stands next to it and is 3 feet tall. How long is the dog's shadow?

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Problem 5 :

A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?

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Problem 6 :

On a sunny day around noon, a tree casts a shadow that is 12 feet long. At the same time, a person who is 6 feet tall standing beside the tree casts a shadow that is 2 feet long. How tall is the tree?

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