Unit Six: Using Similar Triangles in Indirect Measurement

A person stands 16 feet from a mirror and sees the top of a 12 foot building. The mirror is 32 feet from the building. Based on this information, the person's height is ______. 1/2 the height of the building 2/3 the height of the building 3/4 the height of the building

1/2 the height of the building

A boy is 6 ft. tall. The distance from the boy to a mirror is 8 ft. From the mirror to the house is 16 ft. How high is the top of the house? 3 ft. 12 ft. 21 1/3 ft.

12 ft.

If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree? Which of the following proportions could not be used to solve the problem? 14/1.8 = x/4 x/14 = 1.8/4 x/1.8 = 14/4

14/1.8 = x/4

At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft. How long is x? 9 1/3 ft. 11 1/4 ft. 20 ft.

20 ft.

If the shadow of a tree is 7 m long and the shadow of a person who is 0.9 m tall is 2 m long, how tall is the tree? 0.25 m 3.15 m 15.5 m

3.15 m

A pole 6m high has a shadow 10 m long when the shadow of a nearby building is 220 m long. How tall is the building? Which ratio is equal to the ratio of the height of the building to its shadow? 3/5 5/3 3/110

3/5

At the bank of a river, by measurement,a = 18 ft.b = 30 ft.c = 24 ft.d = 14 ft. How long is x? 11.2 ft. 18.7 ft. 40.0 ft.

40 ft.

A telephone pole 13 1/3 feet tall casts a shadow of 16 feet when a person casts a shadow of 6 feet. How tall is the person? 4 1/3 ft. 5 ft. 5 1/3 ft.

5

A person 2.5 ft tall casts a shadow of 3 ft. How long is a shadow of a pole that is 6.7 ft tall? 5.5 ft. 7 ft. 8 ft.

8 ft.

Use the diagram to answer the question. Segment AB corresponds to which line segment? CD BC DE CE none of the above

DE

Use the diagram to answer the question. Angle A corresponds to Angle _____. B C E D none of the above

E

For which of the following would similar triangles and trigonometry be useful for measuring? The length of a table The width of a wide river. The length of a car. The width of the classroom.

The width of a wide river.

Use the diagram to answer the question. Angle ACB and angle ECD are _______ angles. vertical complementary supplementary none of the above

Vertical

A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? Which of the following proportions could be used to solve the problem? 3/110 = x/5 3/x = 110/5 x/3 = 110/5

x/3 = 110/5