Transcript Document 7399735

Arc Length/
Sectors
Angular &
Linear
Velocity
DMS/
Nautical/
Bearing
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Special Rt Triangle
Triangles Trig/Word
What is the exact length of an
arc, with a central angle   
3
and radius
of 5 cm?
5
3
A point 2 m from the
center of a circle travels
4m. What is central angle
in radians?
 2
A slice of 18” diameter pizza
has an angle 40 . What is the exact
area of the slice?
9 in
2
What is the measure of the angle
(in degrees and rounded to the
nearest hundredth), if the diameter is
5 inches and the arc length is 2
inches?
45.84
What’s the exact angle in radians if
the diameter is 3 inches and the arc
length is 2 in ?
7
4
21
3rad
sec .
A wheel is rotating at
The wheel has a radius of 30 cm.
What is the speed in m/min?
54m
min
A 45 rpm record has a radius of
8.7cm. What is the linear velocity
(to the nearest hundredth) of a fly
on the edge of the record in
cm/sec?
41.00cm
sec
A wheel has a 32cm diameter. The
speed of a point on the rim is
11m/sec. What is the angular
velocity of the point in radians per
sec? (rounded to the nearest
hundredth)
68.75rad/sec
A water wheel has a 20’ radius.
The wheel revolves 7 times per
min. What is the speed of the
wheel in miles/hour? (Round to
the nearest hundredth)
10miles/hour
A bucket is being raised in an old
well at the rate of 3ft/sec. The radius
of the drum being turned is 10inches.
What is the angular speed of the
handle in radians/second? (Round to
the nearest hundredth)
3.60 radians/second
Convert 16.3514
to DMS.
16 21'5"
Convert 25 10 '15" to degrees.
(Round to the nearest hundredth.)
25.17
What is the bearing of
NNW?
337.5
3500 statute miles is how
many nautical miles? (Round
to the nearest hundredth)
3041.48nautical / miles
6300 nautical miles is how many
statute miles? (Round to the
nearest hundredth).
7249.75 statute miles

What is the sin 6 ?
1/2
What is the tan

2
?
Undefined
4
Given sin  
5
tan  
?
, what is the
4/3
9
If sec   what is the tan  ?
2
77
2
If
7
csc   ,
4
what is cot  ?
33
4
m<A=90degrees
7
5
B
A
What is the measure of <B to
the nearest hundredth of a
degree?
45.58 degrees
If
7
sin   , what is theta in
11
degrees?
(Round to the nearest hundredth).
39.52 degrees
27
sin
4
Leave exact.
2

2
A 6 foot person stands 120 feet
from a tree with a line of sight
to the top of the tree of 30
degrees. How tall is the tree?
Round to the nearest
hundredth.
75.28 feet
C
a
B
M<CAB=120 degrees
A
What is the exact length of side a
if the radius is 5?
5 3