Missing sides of similar triangles, and shadow problems

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Pia lays a mirror flat on the ground and sees the top of a tower in it. How many meters tall is the tower?

   22.5
2. 2.

   Tala lays a mirror flat on the ground and sees the top of a house in it. How many meters tall is the house?

   9.6
3. 3.

   Bo bounce-passes a basketball to a partner 4 m away. How many meters from Bo does the ball hit the floor?

   2.5

4. Read this first

   Use this

   Jun's hands are 1.4 m high and the partner's hands are 0.6 m high. The ball hits the floor and leaves it at the same angle (sketch, not to scale).

5. 4.

   Jun bounce-passes a basketball to a partner 4 m away. How many meters from Jun does the ball hit the floor?

   2.8
6. 5.

   Kira draws a small triangle FQS inside a big triangle FGH. How many cm long is the leftover piece QG?

   3
7. 6.

   Luz draws a small triangle CDU inside a big triangle CVW. How many cm long is the leftover piece DV?

   7
8. 7.

   Milo draws a small triangle SUV inside a big triangle SYW. How many cm long is the leftover piece UY?

   21
9. 8.

   Noah draws a small triangle GQD inside a big triangle GHF. How many cm long is the leftover piece QH?

   22
10. 9.

    Tala stands a 15 cm toy on a table, 24 cm from the base of a desk lamp. The toy's shadow is 12 cm long. How many cm above the table is the bulb?

    45

11. Use this

    The bulb, the top of the toy and the tip of the shadow lie on one straight line (sketch, not to scale).

12. 10.

    Zee stands a 6 cm toy on a table, 16 cm from the base of a desk lamp. The toy's shadow is 4 cm long. How many cm above the table is the bulb?

    30