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WorksheetsChapter 4.1 to 4.4 Review
Total questions: 17
Worksheet time: 1hrs 5mins
Name
Class
Date
1.
A 73-foot rope from the top of a circus tent pole is anchored to the flat ground 43 feet from the bottom of the pole. Find the angle, to the nearest tenth of a degree, that the rope makes with the pole.
a)
53.9
b)
36.1
c)
30.5
2.
The angle of elevation to the top of a building from a point on the ground 30 yards from its base is 37°. Find the height of the building to the nearest yard.
a)
24.0
b)
18.1
c)
22.6
3.
If (-2, 5) is a point on the terminal side of angle θ, find sin θ
a)
(-2√29)/29
b)
5
c)
(5√29)/29
d)
5/-2
4.
If (-2, 5) is a point on the terminal side of angle θ, find cos θ
a)
√29/-2
b)
(-2√29)/29
c)
(5√29)/29
d)
-2
5.
If (-2, 5) is a point on the terminal side of angle θ, find tan θ
a)
-2/5
b)
5/-2
c)
1
d)
4
6.
If (-2, 5) is a point on the terminal side of angle θ, find csc θ
a)
√29/5
b)
1/5
c)
√29/-2
d)
1/-2
7.
P(5/13, -12/13) is on the Unit Circle, find sin θ
a)
5/13
b)
-12/13
c)
5/-12
d)
-12/5
8.
P(5/13, -12/13) is on the Unit Circle, find cot θ
a)
5/-12
b)
-12/5
c)
5/13
d)
-12/13
9.
P(5/13, -12/13) is on the Unit Circle, find cos θ
a)
-12/13
b)
5/-12
c)
5/13
d)
-12/5
10.
Find the length of the arc on a circle of radius 10 feet intercepted by a 135° central angle. Express arc length in terms of π.
a)
1350π
b)
7.5π
c)
10π
d)
15π
11.
The propeller of an airplane has a radius of 2 ft, the propeller is rotating at 2000 revolutions per minute, find the linear speed, in feet per minute, of the tip of the propeller. Round to 2 decimals.
a)
25132.74 ft/minute
b)
8000π
c)
12566.37
d)
4000π
12.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
13.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
14.
cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
15.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
16.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
17.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
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