Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Concept explainers

Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
1. In the right triangle shown in the diagram below, what is the value of x to the nearest whole number? Answers Only 1. 30° 2. 24 A. 12 B. 14 C. 21 D. 28 2. In the accompanying diagram, the legs of right triangle ABC are 4 and 3, and the hypotenuse is 5. What is the value of tanA? A. В. с. 4 In right triangle ABC shown below, AB = 18.3 and б, вс- 11.2. 5. 4 Which equation could be used to find the measure of angle D in the right triangle shown in the diagram below? 11.2 A 18.3 13 What is the measure of ZA, to the nearest tenth of a degree? A. 31.5 В. 37.7 C. ,52.3 D. 58.5 12 F B. cosD = In the accompanying diagrám of AABC, which expression can be used to determine mLA? A. cos D = 60 D. sin D = C. sin D = A. sinA = 18 In AABC, the measure of ZB = 90°, AC = 50, AB = 48, and BC = 14. Which ratio represents the i B. cosA = 2 Б 4. 12 C. cosA = 48 D. 19 tangent of ZA? 14 18 48 C. 0 A. B. D. tanA = 3.
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Transcribed Image Text:1. In the right triangle shown in the diagram below, what is the value of x to the nearest whole number? Answers Only 1. 30° 2. 24 A. 12 B. 14 C. 21 D. 28 2. In the accompanying diagram, the legs of right triangle ABC are 4 and 3, and the hypotenuse is 5. What is the value of tanA? A. В. с. 4 In right triangle ABC shown below, AB = 18.3 and б, вс- 11.2. 5. 4 Which equation could be used to find the measure of angle D in the right triangle shown in the diagram below? 11.2 A 18.3 13 What is the measure of ZA, to the nearest tenth of a degree? A. 31.5 В. 37.7 C. ,52.3 D. 58.5 12 F B. cosD = In the accompanying diagrám of AABC, which expression can be used to determine mLA? A. cos D = 60 D. sin D = C. sin D = A. sinA = 18 In AABC, the measure of ZB = 90°, AC = 50, AB = 48, and BC = 14. Which ratio represents the i B. cosA = 2 Б 4. 12 C. cosA = 48 D. 19 tangent of ZA? 14 18 48 C. 0 A. B. D. tanA = 3.
In the accompanying diagram of ACDE, mLD = 90°, mLC = 28°, and ED = 15. Which equation can be used to find CD? 7. Answks 15 A. sin 28° = E CD 15 CD B. sin 28° = 28° 15 D. 15 C. tan 28° = 9. CD CD D. tan 28° = 10. 15 1. In right triangle BCD, BD = 12, mLC = 90, and MLDBC = 47. Find DC to the nearest tenth. 12. D 13. 14 47 Which equation can be used to find the value of x 9. in the right triangle shown? A. cos 20° = 12 12 B. sin 20° = 20 12 12 C. cos 20° = D. cos 70° = 12 %3D 10. Find a. B. 26.9 A. 19 45 С. 38 D. 53.7
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Transcribed Image Text:In the accompanying diagram of ACDE, mLD = 90°, mLC = 28°, and ED = 15. Which equation can be used to find CD? 7. Answks 15 A. sin 28° = E CD 15 CD B. sin 28° = 28° 15 D. 15 C. tan 28° = 9. CD CD D. tan 28° = 10. 15 1. In right triangle BCD, BD = 12, mLC = 90, and MLDBC = 47. Find DC to the nearest tenth. 12. D 13. 14 47 Which equation can be used to find the value of x 9. in the right triangle shown? A. cos 20° = 12 12 B. sin 20° = 20 12 12 C. cos 20° = D. cos 70° = 12 %3D 10. Find a. B. 26.9 A. 19 45 С. 38 D. 53.7
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