Do Now Find the missing sides.

1)

15

5

y + 124

2)

16

12

x – 2

32

y = 7 x = 26

1) A tree casts a shadow 64 m long at the same time a person 1.8 m tall casts a shadow 8 m long. Find the height of the tree.

STEPS:

1) Draw the pictures.

2) Form triangles

3) Assign sides correct values

4) Set up proportions using similar sides.

5) Solve

6) Answer the question – use words!!!!

64

1.8

8

8

8.1

64

x

x

x = 14.4

The tree is 14.4 m tall.

3) Jordan and Missy are standing together in the schoolyard. Jordan, who is 6 feet tall, casts a shadow that is 54 inches long. At the same time, Missy casts a shadow that is 45 inches long. How tall is Missy?

2)Two ladders are leaned against a wall such that they make the same angle with the ground.  The 10' ladder reaches 8' up the wall.  How much further up the wall does the 18' ladder reach?

4) If a girl 1.2 meters tall casts a shadow 2 meters long, how many meters tall is a tree that casts a shadow 75 meters long at the same time?

6) A 12-foot tree casts a 16-foot shadow. How many feet tall is a nearby tree that casts a 20-foot shadow at the same time?

5) At a certain time of the day, the shadow of a 5' boy is 8' long.  The shadow of a tree at this same time is 28' long.  How tall is the tree?

Assignment

Similar Triangles Word Problems WS #1-9