Transcript Chapter 9 Review Trigonometry

Chapter 9 Review
Trigonometry
Rules
• Take 3 minutes to silently complete the
questions on your own.
• Take 2 minutes to agree on answers with your
teammates.
• Share answers with teacher.
• With 20 minutes left, each team will shoot
baskets. They get one shot per correct
answer.
• The team with the most baskets earns extra
credit on Friday’s test.
Core 1 Teams
1: Ethan, Cody, Peter, Jose
2: Ricky, Ben, Sam
3: Cheira, Sarah, Morgan
4: Hunter, Tanner, Steven
5: Antonio, Michael, Omar, Kyle
6: Katelyn, Lilibeth, Taylor
7: Abby, Emma, Josh
Core 2 Teams
1: Mitchell, Michael
2: Kashaun, Lucas
3: Tyler, Laura, Kristina
4: Desha, Janelle
5: Jeimy, Austin
• Decide who is the shooter, manager, and
writer.
• Shooter – shoots baskets at the end.
• Manager – makes sure everyone is on task;
gets supplies.
• Writer – writes answers down to show to
teacher
9-1 and 9-2: Sine, Cosine, and Tangent
Find x.
1. sin17° = x/7
2. cosx° = 0.39
3. tan36° = 1/x
9-3: Angles of Depression and
Elevation
4. A surveyor is 305 ft from the base of the new
courthouse. Her angle measuring device is 5 ft
above the ground. The angle of elevation to the
top of the courthouse is 42°. Find the height of
the courthouse to the nearest foot.
5. Twenty minutes after being launched, a hot-air
balloon has risen to an altitude of 300 m. The
pilot can still see the starting point on the ground
at a 25° angle of depression. How many meters is
the balloon from the starting point?
9-4: Vectors
6. Describe the vector using ordered pair
notation.
100
22°
225 mi/h
7. Find the magnitude and direction of the
vector.
450 mi/h
9-4: Vectors
• Find the sum of each pair of vectors. Give
your answers in ordered pair notation.
8.
9.
9-5: Area Using Trigonometry
Find the area of each polygon. Round your
answers to the nearest tenth.
10. Regular pentagon with apothem 8 cm.
11. Regular quadrilateral with radius 2 m.
12. Triangle with the given dimensions:
65°
15 ft
13 ft
13. A whale-watching tour leaves port and travels 12 mi
directly north. The tour then travels 5 mi due east.
a. In what direction should the boat head to return directly
to port? (angle measurement and cardinal direction)
b. How long will the return trip take if the boat averages 20
mi/h? (answer should be in hours)
14. In still air, the WP-3D flies at 375 mi/h. Suppose that
a WP-3D flies due west and meets a hurricane wind
blowing due south at 95 mi/h. What are the
resultant speed and direction of the airplane to the
nearest unit?
15. The world’s tallest unsupported
flagpole is a 282-ft-tall steel pole in
Surrey, British Columbia. The shortest
shadow cast by the pole during the
year is 137 ft long. To the nearest
degree, what is the angle of elevation
of the sun when the shortest shadow
is cast?
16. A blimp is providing aerial television
views of a football game. The
television camera sights the stadium at
7° angle of depression. The blimp’s
altitude is 400 m. What is the line-ofsight distance from the TV camera to
the stadium, to the nearest hundred
meters?
17. An engineer is 980 ft from the base of a
fountain on Fountain Hills, Arizona. The angle of
elevation to the top of the column of water is
29.7°. The surveyor’s angle measuring device is
at the same level as the base of the fountain.
a. Find the height of the column of water to the
nearest foot.
b. When the top of the column of water is just
half as high as in part (a), find the angle of
elevation to its top.