NEW
Font size
S
M
L
XL
WorksheetsAll Things Trig!
Total questions: 28
Worksheet time: 3hrs 49mins
Name
Class
Date
1.
A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower
a)
18.01 m
b)
29.89 m
c)
13.38 m
d)
22.21 m
2.
Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.
a)
5654.9 in/min
b)
1800 in/min
c)
2827.4 in/min
d)
900 in/min
3.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
4.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
5.
A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular velocity of the fan in rad/min. Round to the nearest tenth.
a)
90 rad/min
b)
282.7 rad/min
c)
45 rad/min
d)
141.4
6.
Use reference angles to evaluate: tan(225o)
a)
-1
b)
1
c)
sqrt 3
d)
(sqrt 3)/3
7.
Use reference angles to evaluate: cos(135o)
a)
1
b)
(sqrt 2)/2
c)
(sqrt 3)/2
d)
-(sqrt 2)/2
8.
The angle that is labled 12o in the diagram is a(n)
a)
angle of elevation
b)
angle of depression
c)
neither
d)
both
9.
cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
10.
What is the reference angle for 30 degrees?
a)
70 degrees
b)
30 degrees
c)
150 degrees
d)
330 degrees
11.
What is the reference angle for 135 degrees?
a)
135 degrees
b)
45 degrees
c)
315 degrees
d)
225 degrees
12.
What is the reference angle for 11pi/6
a)
pi/6
b)
pi/3
c)
pi/4
d)
5pi/6
13.
What is the reference angle for 2pi/3
a)
pi/4
b)
7pi/6
c)
4pi/3
d)
pi/3
14.
What is the reference angle for -30 degrees?
a)
150 degrees
b)
30 degrees
c)
80 degrees
d)
60 degrees
15.
What is the reference angle for 5pi/4?
a)
pi/4
b)
7pi/4
c)
pi/6
d)
pi/3
16.
Which is a coterminal angle to 455 degrees?
a)
275 degrees
b)
95 degrees
c)
-95 degrees
d)
365 degrees
17.
Which angle is coterminal to 11π ∕ 3 ?
a)
17 π / 3
b)
4π ∕ 3
c)
π ∕ 3
d)
8π ∕ 3
18.
Convert from radians to degrees: 7π ∕ 4
a)
330°
b)
45°
c)
315°
d)
75°
19.
Convert from degrees to radians: 135°
a)
2π ∕ 3
b)
3π ∕ 4
c)
5π ∕ 4
d)
3π ∕ 5
20.
Convert from degrees to radians: 10°
a)
π ∕ 18
b)
π ∕ 180
c)
3π ∕5
d)
2π ∕ 36
21.
If cosθ = 4/7 and sinθ > 0, find tan θ.
a)
√33 / 4
b)
4√33 / 33
c)
7 /4
d)
√65 / 4
22.
If sinθ = 3 / 5 and cotθ < 0, find tan θ.
a)
3 / 4
b)
-3 / 4
c)
4 / 3
d)
- 4 / 3
23.
If sec θ = -2 and θ is in Q III, find sin θ.
a)
1/ 2
b)
- 1/ 2
c)
√3 / 2
d)
- √3 / 2
24.
If cosθ = -12/13 and θ is in Q II, find csc θ.
a)
5 /13
b)
13 / 5
c)
-13 / 5
d)
13 / -12
25.
If the point (-2, 3) lies on the terminal side of an angle θ, find the value of cosθ
a)
-2√13 / 13
b)
√13 / -2
c)
-2√5 / 5
d)
-2 / 3
26.
If the point (-2, -5) lies on the terminal side of an angle θ, find the value of tan θ and cos θ.
a)
5 / 2 and -2 / 5
b)
-5 / 2 and -2 / 5√29
c)
-5 / -2 and -2 √29 / 29
d)
5 / 2 and -2 √29 / 29
27.
If cosθ > 0 and tanθ > 0, in which quadrant is the angle located?
a)
Q I
b)
Q II
c)
Q III
d)
Q IV
28.
If secθ < 0 and cscθ > 0, in which quadrant is the angle located?
a)
Q I
b)
Q II
c)
Q III
d)
Q IV
Reset
