Similarity

A 8ft. man casts a shadow that is 9 feet long. At the same time, a tree cast a shadow that is 30 feet long. What is the height of the tree?

• 33.8 feet

• 2.4 feet

• 26.7 feet

Tags

CCSS.HSG.SRT.B.4

A contractor is making a model of a building for his company. The model will have a scale factor of 1:30.

If the model is 1.2 feet tall, about how tall with the building be?

Tags

CCSS.7.G.A.1

A contractor is making a model of a building for his company. The model will have a scale factor of 1:30.

If the model is 3.2  feet wide, about how wide with the building be?

Tags

CCSS.7.G.A.1

Given that triangle ABC ~ triangle FDE, find the value of x. Round to the nearest hundredths place if needed.

Tags

CCSS.HSG.SRT.A.2

Christy’s boat has floated away from the dock.  She is standing on top of a hill that is 20 feet above the lake water. If she stands 8 feet from the edge of the hills, she aligns the top of the hill with the water near her boat’s edge.  Her eye level is 10.5 feet above the ground. About how far out from the hill is Christy’s boat? 

• 4.2 feet

• 15.2 feet

• 26.7 feet

Tags

CCSS.8.G.B.8

The two triangles are similar. Find the value of y.

• 17.3

• 2.1

• 1.7

• 14.4

Tags

CCSS.HSG.SRT.A.2

Given that triangle ABC ~ triangle DFE, find the value of x. Round to the nearest hundredths place if needed.

Tags

CCSS.HSG.SRT.A.2

Find x given that these triangles are similar.

• 12.2

• 13.5

• 6

• 2.7

Tags

CCSS.HSG.SRT.A.2

A student is working on finishing a scale model of the Eiffel Tower. The actual tower is 1,083 feet tall and 410 feet wide at the base.  If the model currently has a base that is 0.52 feet wide, how tall should the completed model be?

• 85153.8 ft

• 0.197 ft

• 1.4 ft

Tags

CCSS.7.G.A.1

What is a scale factor?

• The ratio of corresponding parts of two objects, written in lowest terms.

• The fraction that results from dividing two numbers.

• The square on the bathroom floor.

• The product when you multiply diagonally in a fraction.

Tags

CCSS.7.G.A.1