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Elementary Geometry For College Students, 7e
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
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35.0 mm - FIGURE 6-46 10 9 FIGURE 6-47 16.0 in. 11 12 7 6 1 5 2 4. ↑ 0.500 in. FIGURE 6-48 36" —— B 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. highway (Fig. acres in the triangular lot ABC. (1 acre = 43,560 ft²) O cut corner from a parcel land. Find the number of 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.
Transcribed Image Text:35.0 mm - FIGURE 6-46 10 9 FIGURE 6-47 16.0 in. 11 12 7 6 1 5 2 4. ↑ 0.500 in. FIGURE 6-48 36" —— B 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. highway (Fig. acres in the triangular lot ABC. (1 acre = 43,560 ft²) O cut corner from a parcel land. Find the number of 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.
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