Pre-Calculus Homework Solutions 187

Pre-Calculus Homework Solutions 187 - Chapter 7 Right...

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Unformatted text preview: Chapter 7 Right Triangles and Trigonometry Page 341 Getting Started 7-1 1. 3 4 3a a c 2. 5 3c c 3. 2e0 5e e ¬ 12 a ¬48 ¬16 ¬8 3 ¬40 ¬13.33 ¬6 5 ¬120 ¬24 6 f 5 ¬ 10 60 ¬5f 12 ¬f 4. 4 3 4y y 4 3 4z z 5. c2 c2 c 6. c2 c2 c 7. c2 c2 c 8. c2 c2 c 9. 8 11. 392 362 7 2 14. x 15. x See students’ work. They are equal. They are equal. They are similar. Pages 345–346 Check for Understanding 1. Sample answer: 2 and 72. Let x represent the geometric mean. 2 x x ¬ 72 2 x ¬144 x ¬ 144 or 12 2. C A DB For leg CB, DB is the segment of the hypotenuse that shares an endpoint. Thus, it is the adjacent segment. The same is true for leg AC and segment AD. 3. Ian; his proportion shows that the altitude is the geometric mean of the two segments of the hypotenuse. 4. Let x represent the geometric mean. 9 x x ¬4 2 x ¬36 x ¬ 36 or 6 5. Let x represent the geometric mean. 52 122 25 144 169 13 62 82 36 64 100 10 152 152 225 225 450 21.21 142 272 196 729 925 30.41 42 4 2 22 10. 13. x 1. 2. 3. 4. ¬1 z ¬3 ¬0.75 52 12. Page 343 Geometry Software Investigation ¬6 y ¬18 ¬4.5 102 Geometric Mean 36 x 100 25 75 25 3 25 3 53 1521 1296 225 15 x2 ¬1764 x ¬ 1764 or 42 6. Let x represent the geometric mean. 6 x x ¬8 2 x ¬48 x ¬ 48 or 4 3 x ¬6.9 7. Let x represent the geometric mean. 72 2 2 72 72 2 4 38 ¬180 82 ¬180 x ¬98 40 155 x 115 2x 21 90 3x 111 3x x x ¬ 49 44 x 22 x ¬ x 32 x2 ¬12 x ¬ 12 or 2 3 x ¬3.5 8. Let x CD. ¬180 ¬180 ¬69 ¬23 AD CD 2 x x2 x x 189 ¬ CD BD x ¬6 ¬12 ¬ 12 or 2 3 ¬3.5 Chapter 7 ...
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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