Review for CP 4 (Test Tomorrow 12/14) Geometric Mean, Pythagorean Theorem, and Special Right Triangles

1. Special triangle ABC is shown below. The length of AB is _____.

• 4
• 4√3
• 8
• 16

2. Special triangle ABC is shown below. The length of AC is _____.

• 4
• 4√3
• 8
• 16

3. How far away is the ladder from the base of the house? The ladder is about ________feet away from the house.

• 12
• 13
• 15
• 16

4. Given the diagram at the right, as labeled, find x.

• √15
• 2√6
• 2√15
• 2√10

5. YW is perpendicular to XZ. XY is perpendicular to YZ. What is XZ?

• F 7√3
• G 21
• H 14√3
• J 28

6. What is the measure of θ?

• A
• B
• C
• D

7.

• A
• B
• C
• D
• E

8.

• A
• B
• C
• D
• E

9. On a sunny day, a 6-foot tall woman positions herself so that her shadow lines up with the end of the shadow of a pine tree. The woman's shadow is 8 feet long, and she is standing 12 feet from the base of the pine tree, as shown below. Based on the information provided in the diagram, solve for , the height of the pine tree in feet.

• 8
• 12
• 14
• 15

10. On a sunny day, a 5-foot tall woman positions herself so that her shadow lines up with the end of the shadow of a mulberry tree. The woman's shadow is 8ft feet long, and she is standing 16 feet from the base of the mulberry tree, as shown below. What is the height of the mulberry tree in feet?

• 8
• 15
• 16
• 24