Ch.4 Test Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. TIRES Tires are rotating at a rate of 18 revolutions per minute. Find the angular speed of the tires in
radians per minute.
a. 9 rad/min
c. 36 rad/min
b. 18 rad/min
d. 72 rad/min
____
2. Let
, where
. Find the exact value of
a.
c.
b.
d.
.
____
3. PATIO The arc length of a sector of a circular patio is 7.7 meters, and the central angle is 105 . Find the
diameter of the patio.
a. 4.2 m
c. 8.4 m
b. 12.1 m
d. 15.4 m
____
4. Identify all coterminal angle between -360 and 360 for the angle -120 .
a. -240
c. 240
b. 60
d. 300
____
5. LOGO A circular pizza box logo has a sector with a central angle of 80 and a diameter of 16 inches. Find
the area of the sector.
a. 44.7 in2
c. 178.7 in2
2
b. 56.9 in
d. 201.1 in2
____
6. ARCHITECTURE The angle of elevation from the tip of a building’s shadow to the top of the building is
63 and the distance is 220 feet. Find the height of the building to the nearest foot.
a. 100 ft
b. 112 ft
____
7. State the period of
a. -1
b. 2
c. 178 ft
d. 196 ft
.
c.
d.
____
8. Find
, if it exists.
a. 30
b. 60
____
c. 120
d. does not exist
9. RAMP The side view of a skateboard ramp is a triangle ABC with
a. 10.5 ft
c. 27.7 ft
b. 13.0 ft
d. 34.3 ft
____ 10. In
a. 8.2
b. 11.0
feet. Find b.
Find e.
c. 11.1
d. 18.4
____ 11. GEOMETRY Mrs. Lindsay designated a triangular area in the auditorium for art projects. The dimensions
of the triangle are 32 feet, 26 feet, and 40 feet. What is the area of the triangle?
a. 49.0 ft2
c. 296.6 ft2
2
b. 121.0 ft
d. 415.2 ft2
____ 12. In
a. 15.1
b. 16.2
Find R.
c. 78.9
d. 148.7
Short Answer
13. Change
radians to degree measure.
14. GEARS Find the angular speed of a turning gear if 12.5 revolutions are completed in 8 seconds. Round to
the nearest tenth.
15. Find the exact value of
.
16. Let (-1, 4) be a point on the terminal side of an angle
in standard position. Find the exact value of cos
17. Write an equation of the tangent function with period
, phase shift
18. Assuming an angle in Quadrant I, find the exact value of
19. RAMP The side view of a skateboard ramp is a triangle ABC with
a.
.
, and vertical shift -1.
.
feet. Find
20. Locate the vertical asymptotes, and sketch the graph of
21. In
22. In
.
. Find d.
Find the area of
.
Ch.4 Test Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
A
C
C
A
D
C
B
D
B
D
D
SHORT ANSWER
13. ANS:
660
PTS: 1
14. ANS:
9.8 rad/s
PTS: 1
15. ANS:
PTS: 1
16. ANS:
PTS: 1
17. ANS:
PTS: 1
18. ANS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
PTS: 1
19. ANS:
16.3 ft
PTS: 1
20. ANS:
PTS: 1
21. ANS:
9.3
PTS: 1
22. ANS:
80.5 in2
PTS: 1