Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
#17( Look at figure 6-42)
Transcribed Image Text:186
23.4 in
diameter
35.0 mm
36
/10
19
45
25.3
FIGURE 6-36
FIGURE 6-39
FIGURE 6-46
7
38.8 in
FIGURE 6-43
16.0 in
315
FIGURE 6-47
1112,1
دیا ہے
65
2
4,
1
0.500
in.
36"
FIGURE 6-48
FIGURE 6-49
18.6
FIGURE 6-50
205
15.8 in
diameter
17 mm
121
8
108
FIGURE 6-37
65.1
30.6
156
FIGURE 6-40
586
FIGURE 6-41
712
Highway
2877
2025
Chapter 6 Geometry
B
FIGURE 6-44 Note: Angle B is not a
right angle.
45.5
32.7
1004
■
21.6
FIGURE 6-35
FIGURE 6-38
in
18.4 in
FIGURE 6-42
Dur
N
41.8
FIGURE 6-45
Height
Applications
To help you solve each problem, draw a diagram and label it completely. Look for
special triangles or right triangles contained in the diagram. Be sure to look up any
word that is unfamiliar.
9. What is the cost, to the nearest dollar, of a triangular piece of land whose base
is 828 ft and altitude is 412 ft at $1125 an acre? (1 acre 43,560 ft²)
10. A vertical pole 45.0 ft high stands on level ground and is supported by
three guy wires attached to the top and reaching the ground at distances of
60.0 ft, 108.0 ft, and 200.0 ft from the foot of the pole. What are the lengths
of the wires?
11. A ladder 39.0 ft long reaches to the top of a building when its foot stands
15.0 ft from the building. How high is the building?
12. Two streets, one 16.2 m and the other 31.5 m wide, cross at right angles. What
is the diagonal distance between the opposite corners?
13. A rectangular room is 20.0 ft long, 16.0 ft wide, and 12.0 ft high. What is
the diagonal distance from one of the lower corners to the opposite upper
corner?
14. What is the side of a square whose diagonal is 50.0 m?
15. A rectangular park 125 m long and 233 m wide has a straight walk running
through it from opposite corners. What is the length of the walk?
16. A ladder 32.0 ft long stands flat against the side of a building. How many feet
must it be drawn out at the bottom so that the top may be lowered 4.00 ft?
17. The slant height of a cone (Fig. 6-42) is 21.8 in., and the diameter of the base
is 18.4 in. How high is the cone?
18. Find the distance AB between the centers of the two rollers in Fig. 6-43.
19. A highway (Fig. 6-44) cuts a corner from a parcel of land. Find the number of
acres in the triangular lot ABC. (1 acre 43,560 ft)
20. A surveyor starts at A in Fig. 6-45 and lays out lines AB, BC, and CA. Find the
three interior angles of the triangle.
21. Find dimension x on the beveled end of the shaft in Fig. 6-46.
22. A hex head bolt, Fig. 6-47, measures 0.500 in. across the flats. Find the distance
x across the corners. Hint: You can solve problems involving a regular polygon
by subdividing it into triangles.
23. An octagonal wall clock, Fig. 6-48, is to be 16.0 in. wide. Find the dimen-
sion .x.
24. Diagonal Brace: Find the length AB of the diagonal brace in Fig. 6-49.
25. Diagonal Brace: A brace A is to join rafter B (width = 3.25 in.) at an angle of
45*, Fig. 6-50. Find the distance PQ by which A must be shortened to allow for
the thickness of B.
26. Cross-Bridging: Find the length AB of the cross-bridging member in
Fig. 6-51.
27. A beam AB is supported by two crossed beams (Fig. 6-52). Find distance x.
28. Common Rafters: Figure 6-53 shows several kinds of roof rafters. A com
mon rafter is one that runs from the ridge to the plate. It is common practice
to figure rafter lengths from the building line to the centerline of the ridge
board. This distance is called the line length, PQ in Fig. 6-54. This is later
shortened by half the thickness of the ridge board and lengthened by the
amount of overhang.
Find the line length of a rafter that has a run of 14.0 ft and a slope of 8.0 in.
per foot
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