Missing sides of similar triangles, and shadow problems

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Read this first
Table (stick | tree, in m)
Height 1.5 | ?, shadow 2 | 12. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Bo stands a 1.5 m stick in the sun, and its shadow is 2 m long. At the same time the tree's shadow is 12 m long. How many meters tall is the tree?
Table (stick | tree, in m)
Height 1.2 | ?, shadow 1.5 | 18. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Jun stands a 1.2 m stick in the sun, and its shadow is 1.5 m long. At the same time the tree's shadow is 18 m long. How many meters tall is the tree?
Table (pole | house, in m)
Height 1.2 | ?, shadow 2 | 12. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Kira stands a 1.2 m pole in the sun, and its shadow is 2 m long. At the same time the house's shadow is 12 m long. How many meters tall is the house?
Table (post | house, in m)
Height 1.6 | ?, shadow 2.5 | 10. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Luz stands a 1.6 m post in the sun, and its shadow is 2.5 m long. At the same time the house's shadow is 10 m long. How many meters tall is the house?
Table (stick | school, in m)
Height 1.8 | ?, shadow 3 | 18. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Milo stands a 1.8 m stick in the sun, and its shadow is 3 m long. At the same time the school's shadow is 18 m long. How many meters tall is the school?
Pia draws a small triangle CDU inside a big triangle CVW. How many cm long is side VW?
Tala draws a small triangle GQD inside a big triangle GHF. How many cm long is side HF?
Zee draws a small triangle WYD inside a big triangle WCV. How many cm long is side CV?
Esme measures a ramp: it rises 0.6 m over every 3 m of ground. A bigger triangle under the same ramp has a base of 12 m. How many meters high is it?
Use this
The stick and the house both stand straight up, and the sun makes the same angle for both (sketch, not to scale). Every number is in meters.
10.
Noah measures a 1.8 m stick: its shadow is 1.2 m. At the same time the house's shadow is 10 m. Which table sets up the problem to find the house's height?
- Height | Shadow: stick 1.2 | 1.8, house ? | 10
- Height | Shadow: stick 1.8 | 1.2, house 10 | ?
- Height | Shadow: stick 1.8 | 1.2, house ? | 10

Missing sides of similar triangles, and shadow problems

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

Read this first
Table (stick | tree, in m)
Height 1.5 | ?, shadow 2 | 12. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Bo stands a 1.5 m stick in the sun, and its shadow is 2 m long. At the same time the tree's shadow is 12 m long. How many meters tall is the tree?
9
Table (stick | tree, in m)
Height 1.2 | ?, shadow 1.5 | 18. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Jun stands a 1.2 m stick in the sun, and its shadow is 1.5 m long. At the same time the tree's shadow is 18 m long. How many meters tall is the tree?
14.4
Table (pole | house, in m)
Height 1.2 | ?, shadow 2 | 12. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Kira stands a 1.2 m pole in the sun, and its shadow is 2 m long. At the same time the house's shadow is 12 m long. How many meters tall is the house?
7.2
Table (post | house, in m)
Height 1.6 | ?, shadow 2.5 | 10. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Luz stands a 1.6 m post in the sun, and its shadow is 2.5 m long. At the same time the house's shadow is 10 m long. How many meters tall is the house?
6.4
Table (stick | school, in m)
Height 1.8 | ?, shadow 3 | 18. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Milo stands a 1.8 m stick in the sun, and its shadow is 3 m long. At the same time the school's shadow is 18 m long. How many meters tall is the school?
10.8
Pia draws a small triangle CDU inside a big triangle CVW. How many cm long is side VW?
17.5
Tala draws a small triangle GQD inside a big triangle GHF. How many cm long is side HF?
21.6
Zee draws a small triangle WYD inside a big triangle WCV. How many cm long is side CV?
7.5
Esme measures a ramp: it rises 0.6 m over every 3 m of ground. A bigger triangle under the same ramp has a base of 12 m. How many meters high is it?
2.4
Use this
The stick and the house both stand straight up, and the sun makes the same angle for both (sketch, not to scale). Every number is in meters.
10.
Noah measures a 1.8 m stick: its shadow is 1.2 m. At the same time the house's shadow is 10 m. Which table sets up the problem to find the house's height?
- Height | Shadow: stick 1.2 | 1.8, house ? | 10
- Height | Shadow: stick 1.8 | 1.2, house 10 | ?
- Height | Shadow: stick 1.8 | 1.2, house ? | 10

Table (stick | tree, in m)

Table (stick | tree, in m)

Table (pole | house, in m)

Table (post | house, in m)

Table (stick | school, in m)

Use this

Table (stick | tree, in m)

Table (stick | tree, in m)

Table (pole | house, in m)

Table (post | house, in m)

Table (stick | school, in m)

Use this