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1
7O4
Chapter 10
fhe lnteractive CD-ROM and lnternet,.rersions of this rext contain step-by step solutlons
:!.*"3 Exercises
to all odd-numbered exerciselThey;{1o_plovgLe_-Tgtorial Exercises for additional help
ln Exercises 1-8, find the slope of the line with inclination 0.
1.v2.v
ln Exercises 23-32,find, in radians and degrees,the angle g
between the lines.
t y:3
x-y:2
24.x+3y: 2
x-2Y:-3
23. 3x
v
v
x0
3x-2y:-1
26.2rv
v
5. 0:
{radians
7.0:1.27radians
6.
0:f
raalans
8.0:2.88radians
ln Exercises 9-14, find, in radians and degrees, the inclina0 of the line with a slope of m.
27. x-2y:'l
m: -1
Ll. m: I
t3. m:1
29. x
tion
m: -2
12. m:2
M. m: _51
9.
10.
1s. (6, 1), (10,8)
L6. (r2,8), (-4, -3)
17. (-2,20), (10,0)
18. (0, 100), (so,0)
ln Exercises l 9-22, find, in radians and degrees, the inclina0 of the line.
19.6x-2y)-8:0
9:0
20. 4x + 5y 21. 5x + 3Y:
g
22.x-y-10:0
5x|-2Y: 16
3x-5y:-1
3x-5y:- 3
3x * 5y: 12
6x*2Y:5
* 2y:8
v-)v:')
31. 0.05x
ln Exercises 15-18, find, in radians and degrees, the inclination 0 of the line passing through the points.
tion
2
4x + 3Y :24
-
0.03y
:
0.21
0.07x*0.02y:9.16
32. 0.02x
-
0.05y
:
-0.19
0.03.r*0.04y:
0.52
Angle Measurement ln Exercises 33-36,find the slope of
each side of the triangle and use the slopes to find the
measures of the interior angles.
7Section 10.'l
(-3,4)
(-2,2)
0.1 radian
ln Exercises 37-44,findthe distance between
the point and
the line.
rtcuRe roR
Point
37. (0,
o)
38. (0, o)
3e. (2,3)
40.
(-2,1)
41. (6,2)
42. (i0,8)
43. (0,8)
44. (4,2)
Line
52. Grade of a Road A straight
road rises with an
inclination of 0.20 radian from the horizontal.
Find
the slope ofthe road and the change
in elevation
4x-l 3y:g
2x-y=4
4x * 3y: 19
_
A-
-.V_
-
5l
over
a one-mile stretch of the road.
53. Conveyor
a
L
Design A moving
that it rises 1 meter for each
x*1:0
Y-4:0
6x-y:6
x-v=20
travel.
conveyor is built so
of horizontal
: *"t".,
(a) Find the inclination ofthe conveyor.
(b) The conveyor runs between two
floors in a
factory. The distance between the floors
is 5
Area
ln Exercises 4S-48,(a) find the altitude
from vertex
B.of the triangle to side AC and (b)
find the area of the
triangle.
A : (0, 0). B : (1.4),C : (4, 0)
46. A : (0, 0), B : (4,s), s : (5, _2)
47. A :
C:,t), B : (2,3), c : (;, o)
48. A: (-4,
-5), n: (3,10), C: (6,12)
meters. Find the iength of the conveyor.
54. Pitch of a Roof A roofhas a rise
of 3 feet for every
honzontal change of 5 feet (see figure).
Find the
inclination of the roof.
45.
In Exercises 49 and 50, find the
distance between the
parallel
lines.
49.y]-y:1
-r+ly:5
- 4y:
3x-4y:19
50. 3x
1
Truss Find the
angles
drawing of the roof truss.
a
and
B
shown
in
the
_I
51, Grade
of a Road A straight road rises with
inciination of 0.10 radian from the
hoizontat
<+
an
lsee
figure). Find the slope of the road una
tt"
in
elevation over a two-mile stretch
"frung"
of tire roaO.
' .
2a L
JUI!_
*9ft*
6ft
+
6ft
I
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