Chapter 10 - NCPN

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Ongoing Assessment The angle from the top of a tree to a point 20 meters from the base of the tree is 52°. What is the height of the tree Round your answer to the nearest tenth. about 15.6 m Lesson Assessment Think and Discuss 1. Which trigonometric ratio in a right triangle relates an angle measure to the side opposite the angle and the hypotenuse see margin 2. Explain how to find the height of a tree if the horizontal distance to the base of the tree and the angle of elevation to the top of the tree are known. 3. In a right triangle, what ratio of side lengths is equal to the cosine of an angle 4. What happens to the cosine of an angle if the side lengths of the triangle are doubled 5. Which trigonometric ratio is the reciprocal of the sine ratio Practice and Problem Solving Use triangle DEF to find each trigonometric ratio. 6. sin E 5 13 9. cos E 12 13 12. sec D 13 5 15. csc D 13 12 7. cos D 5 13 10. sin D 12 13 13. csc E 13 5 16. cot E 12 5 8. tan E 5 12 11. tan D 12 5 14. cot D 5 12 17. sec E 13 12 10.1 Right Triangle Trigonometry 439
Solve for x in each right triangle. Round your answer to the nearest tenth if necessary. 18. 19. x = 6.0 x = 8.2 20. 21. x = 8.5 x = 30.1 22. The angle from the top of a flagpole to a point 30 feet from the base of the flagpole is 54°. What is the height of the flagpole Round your answer to the nearest tenth. 21.8 ft 23. Three fishing docks are situated on a riverbank as shown. What is the width of the river Round your answer to the nearest tenth. 54.5 yd 24. A ladder is leaning against the side of the house. The ladder and the side of the house form an angle of 25°. The bottom of the ladder is 5.1 feet from the base of the house. What is the length of the ladder Round your answer to the nearest tenth. 12.0 ft 25. After an airplane takes off from the runway, it climbs at an angle of elevation of 25°. What is the altitude of the plane after covering a horizontal distance of 400 feet Round your answer to the nearest tenth. 186.5 ft 440 Chapter 10 Trigonometric Functions and Identities
Page 1 and 2: Chapter 10 Contents 10.1 Right Tria
Page 3 and 4: Lesson 10.1 Right Triangle Trigonom
Page 5: Solution Use the definitions of the
Page 9 and 10: 30. A wheelchair ramp is 20 feet lo
Page 11 and 12: Arc Length The unit circle has a ra
Page 13 and 14: Using a Calculator A scientific cal
Page 15 and 16: Find the length of the intercepted
Page 17 and 18: Lesson 10.3 Inverse Trigonometric F
Page 19 and 20: see margin After taking off, a comm
Page 21 and 22: 20. What is the angle of descent of
Page 23 and 24: The y-values on the unit circle are
Page 25 and 26: Example 2 Graphing Cosine Functions
Page 27 and 28: Activity Using a Graphing Calculato
Page 29 and 30: 25. The function y = 3sin ≠ t mod
Page 31 and 32: Ongoing Assessment In PQR, m∠P =
Page 33 and 34: Activity Ambiguous Cases Two triang
Page 35 and 36: Lesson Assessment Think and Discuss
Page 37 and 38: 23. Two points in a forest, A and B
Page 39 and 40: Lesson 10.6 Verifying Trigonometric
Page 41 and 42: Activity 2 Using the Pythagorean Id
Page 43 and 44: Lesson 10.7 Angle Sum and Differenc
Page 45 and 46: Practice and Problem Solving Use a
Page 47 and 48: Lesson 13.4 Double-Angle and Half-A
Page 49 and 50: When Trigonometric Function Values
Page 51 and 52: Practice and Problem Solving Use a
Page 53 and 54: Lesson 10.9 Solving Trigonometric E
Page 55 and 56: Use the Zero-Product Property to se
Page 57 and 58:
Practice and Problem Solving Solve
Page 59 and 60:
Math Labs Activity 1: The Circle of
Page 61 and 62:
Activity 3: The Sine Curve of Biorh
Page 63 and 64:
3 Hold a protractor upside down so
Page 65 and 66:
3 Cale, Tammie, and Allison are mem
Page 67 and 68:
8 Bella does freelance marketing wo
Page 69 and 70:
Health Occupations 13 Dmitri wants
Page 71 and 72:
Lessons 10.5 and 10.6 Review Exampl
Page 73:
Standardized Test Practice Multiple
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Chapter 10 - NCPN

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