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 (pole | tower, in m)
Height 2 | ?, shadow 3 | 24. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Esme stands a 2 m pole in the sun, and its shadow is 3 m long. At the same time the tower's shadow is 24 m long. How many meters tall is the tower?
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 (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?
Ren draws a small triangle SUV inside a big triangle SYW. How many cm long is side YW?
Tala draws a small triangle GQD inside a big triangle GHF. How many cm long is side HF?
Bo measures a ramp: it rises 0.4 m over every 5 m of ground. A bigger triangle under the same ramp has a base of 25 m. How many meters high is it?
Jun measures a ramp: it rises 2 m over every 8 m of ground. A bigger triangle under the same ramp has a base of 20 m. How many meters high is it?
Use this
The post and the castle both stand straight up, and the sun makes the same angle for both (sketch, not to scale). Every number is in meters.
10.
Milo measures a 1.5 m post: its shadow is 2.5 m. At the same time the castle's shadow is 15 m. Which table sets up the problem to find the castle's height?
- Height | Shadow: post 1.5 | 2.5, castle 15 | ?
- Height | Shadow: post 1.5 | 2.5, castle ? | 15
- Height | Shadow: post 2.5 | 1.5, castle ? | 15

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 (pole | tower, in m)
Height 2 | ?, shadow 3 | 24. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).
Esme stands a 2 m pole in the sun, and its shadow is 3 m long. At the same time the tower's shadow is 24 m long. How many meters tall is the tower?
16
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 (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
Ren draws a small triangle SUV inside a big triangle SYW. How many cm long is side YW?
13.5
Tala draws a small triangle GQD inside a big triangle GHF. How many cm long is side HF?
21.6
Bo measures a ramp: it rises 0.4 m over every 5 m of ground. A bigger triangle under the same ramp has a base of 25 m. How many meters high is it?
2
Jun measures a ramp: it rises 2 m over every 8 m of ground. A bigger triangle under the same ramp has a base of 20 m. How many meters high is it?
5
Use this
The post and the castle both stand straight up, and the sun makes the same angle for both (sketch, not to scale). Every number is in meters.
10.
Milo measures a 1.5 m post: its shadow is 2.5 m. At the same time the castle's shadow is 15 m. Which table sets up the problem to find the castle's height?
- Height | Shadow: post 1.5 | 2.5, castle 15 | ?
- Height | Shadow: post 1.5 | 2.5, castle ? | 15
- Height | Shadow: post 2.5 | 1.5, castle ? | 15

Table (stick | tree, in m)

Table (pole | tower, in m)

Table (stick | tree, in m)

Table (pole | house, in m)

Table (stick | school, in m)

Use this

Table (stick | tree, in m)

Table (pole | tower, in m)

Table (stick | tree, in m)

Table (pole | house, in m)

Table (stick | school, in m)

Use this