Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Transcribed Image Text:Co Bb 117 Bb 117 Sea An M Inb MX
Ana
#search/pdf/FMfcgzGqPzLkZzjHlhkbdqPfJptVHrJK?projector=1
IIT
Section 2 Triangles
Exercise 2 Triangles
1. Find angles and in Fig. 6-34.
2. Find the area of the triangle in Fig. 6-35.
3. Find the area of the triangle in Fig. 6-36.
4. Find the area of the triangle in Fig. 6-37.
5. The two triangles in Fig. 6-38 are similar. Find sides a and b.
6. Find the hypotenuse in the right triangle of Fig. 6-39.
7. Find side a in the right triangle of Fig. 6-40.
8. Find side b in the right triangle of Fig. 6-41.
23.4 in.
diameter
ZIRG
18.6
25.3
FIGURE 6-36
315
FIGURE 6-39
205
a
121
Open with
65.1
108
FIGURE 6-37
30.6
FIGURE 6-40
156
586
712
Page 203 / 1,152
FIGURE 6-41
Co
-
b
C
Bb 117
45.5
32.7
+
Bb 117 Bb 117 Bb 117
21.6
8 $
FIGURE 6-34
FIGURE 6-38
FIGURE 6-35
-18.4 in.
FIGURE 6-42
106
111.8°
182
b
41.8/
Height
Bb 117 Bb 117
185
Transcribed Image Text:Co Bb 117 Bb 117 Sea
186
=h/pdf/FMfcgzGqPzLkZzjHlhkbdqPfJptVHrJK?projector=1
35.0 mm
FIGURE 6-46
/10
FIGURE 6-47
8
16.0 in.
11
121
765
30°
2
4
0.500
in.
FIGURE 6-48
17 mm
FIGURE 6-49
T
36"
✓
36"
An Inb
B
MX
Chapter 6
Open with
Co
Bb 117
Bb 117 Bb 117
Bb 117 Bb 117
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 ft²)
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
Page 204 1,152 pon-by
cro+eams (Fig. 6-52). Find distance x.
6-53 sho
eral kinds of roof rafters. A com-
mon rafter is one that runs from the ridge to the plate. It is common practice
Bb 117
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