{"id":1374,"date":"2023-06-05T14:51:05","date_gmt":"2023-06-05T14:51:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/solutions-for-right-triangle-trigonometry\/"},"modified":"2023-06-05T14:51:05","modified_gmt":"2023-06-05T14:51:05","slug":"solutions-for-right-triangle-trigonometry","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/solutions-for-right-triangle-trigonometry\/","title":{"raw":"Solutions 47: Right Triangle Trigonometry","rendered":"Solutions 47: Right Triangle Trigonometry"},"content":{"raw":"\nSolutions to Odd-Numbered Exercises<\/h2>\n1.\n![\"A](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3675\/2018\/09\/27003910\/CNX_Precalc_Figure_05_04_2022.jpg\")
\n\n3. The tangent of an angle is the ratio of the opposite side to the adjacent side.\n\n5. For example, the sine of an angle is equal to the cosine of its complement; the cosine of an angle is equal to the sine of its complement.\n\n7. [latex]\\frac{\\pi }{6}[\/latex]\n\n9. [latex]\\frac{\\pi }{4}[\/latex]\n\n11. [latex]b=\\frac{20\\sqrt{3}}{3},c=\\frac{40\\sqrt{3}}{3}[\/latex]\n\n13. [latex]a=10,000,c=10,000.5[\/latex]\n\n15. [latex]b=\\frac{5\\sqrt{3}}{3},c=\\frac{10\\sqrt{3}}{3}[\/latex]\n\n17. [latex]\\frac{5\\sqrt{29}}{29}[\/latex]\n\n19. [latex]\\frac{5}{2}[\/latex]\n\n21. [latex]\\frac{\\sqrt{29}}{2}[\/latex]\n\n23. [latex]\\frac{5\\sqrt{41}}{41}[\/latex]\n\n25. [latex]\\frac{5}{4}[\/latex]\n\n27. [latex]\\frac{\\sqrt{41}}{4}[\/latex]\n\n29. [latex]c=14, b=7\\sqrt{3}[\/latex]\n\n31. [latex]a=15, b=15[\/latex]\n\n33. [latex]b=9.9970, c=12.2041[\/latex]\n\n35. [latex]a=2.0838, b=11.8177[\/latex]\n\n37. [latex]a=55.9808,c=57.9555[\/latex]\n\n39. [latex]a=46.6790,b=17.9184[\/latex]\n\n41. [latex]a=16.4662,c=16.8341[\/latex]\n\n43. 188.3159\n\n45. 200.6737\n\n47. 498.3471 ft\n\n49. 1060.09 ft\n\n51. 27.372 ft\n\n53. 22.6506 ft\n\n55. 368.7633 ft\n","rendered":"Solutions to Odd-Numbered Exercises<\/h2>\n
1.
\n<\/p>\n
3. The tangent of an angle is the ratio of the opposite side to the adjacent side.<\/p>\n
5. For example, the sine of an angle is equal to the cosine of its complement; the cosine of an angle is equal to the sine of its complement.<\/p>\n
7. [latex]\\frac{\\pi }{6}[\/latex]<\/p>\n
9. [latex]\\frac{\\pi }{4}[\/latex]<\/p>\n
11. [latex]b=\\frac{20\\sqrt{3}}{3},c=\\frac{40\\sqrt{3}}{3}[\/latex]<\/p>\n
13. [latex]a=10,000,c=10,000.5[\/latex]<\/p>\n
15. [latex]b=\\frac{5\\sqrt{3}}{3},c=\\frac{10\\sqrt{3}}{3}[\/latex]<\/p>\n
17. [latex]\\frac{5\\sqrt{29}}{29}[\/latex]<\/p>\n
19. [latex]\\frac{5}{2}[\/latex]<\/p>\n
21. [latex]\\frac{\\sqrt{29}}{2}[\/latex]<\/p>\n
23. [latex]\\frac{5\\sqrt{41}}{41}[\/latex]<\/p>\n
25. [latex]\\frac{5}{4}[\/latex]<\/p>\n
27. [latex]\\frac{\\sqrt{41}}{4}[\/latex]<\/p>\n
29. [latex]c=14, b=7\\sqrt{3}[\/latex]<\/p>\n
31. [latex]a=15, b=15[\/latex]<\/p>\n
33. [latex]b=9.9970, c=12.2041[\/latex]<\/p>\n
35. [latex]a=2.0838, b=11.8177[\/latex]<\/p>\n
37. [latex]a=55.9808,c=57.9555[\/latex]<\/p>\n
39. [latex]a=46.6790,b=17.9184[\/latex]<\/p>\n
41. [latex]a=16.4662,c=16.8341[\/latex]<\/p>\n
43. 188.3159<\/p>\n
45. 200.6737<\/p>\n
47. 498.3471 ft<\/p>\n
49. 1060.09 ft<\/p>\n
51. 27.372 ft<\/p>\n
53. 22.6506 ft<\/p>\n
55. 368.7633 ft<\/p>\n\n\t\t\t