Chapter 10 - NCPN

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5 Juan decided to place a large scarecrow in his rice patty to keep the crows from ravaging his crop. The scarecrow is 20 feet tall. The angle of the elevation from the top of the scarecrow’s shadow to the top of the scarecrow has a cosecant of 1.03. a. What is the measure of the angle of elevation from the top of the scarecrow’s shadow to the top of the scarecrow 75.9° b. What is the distance from the top of the scarecrow’s shadow to the top of the scarecrow Round to the nearest tenth of a foot. 20.6 ft c. What is the length of the scarecrow’s shadow Round to the nearest tenth of a foot. 5.0 ft Business & Marketing 6 Ronaldo has a kiosk at the local mall where he sells earrings. One of Ronaldo’s customers wants to purchase a 24-carat gold-plated triangular earring. Ronaldo charges $1.75 per mm 2 of gold. Two of the sides of the earring have measurements of 11 millimeters and 12 millimeters, respectively. The angle between the two sides measures 43°. The customer has $75. a. What is the area of the 24-carat gold-plated triangular earring that the customer wants to purchase Round to the nearest tenth. 45.0 mm 2 b. Does the customer have enough money to purchase the earring no 7 Marissa owns a 24-hour paper-recycling plant. There always exists some paper waiting to be recycled in the plant. Marissa found the range of the amount of paper waiting to be recycled is 2 tons, with 4 tons being the most that is ever waiting to be recycled and 2 tons being the least that is ever waiting to be recycled. Marissa also found that the amount of paper waiting to be recycled, in tons, can be represented by a sine curve with an amplitude of 1 and an offset of 3, and the curve goes through 1 cycle every 360 days. The offset of a sine curve is the number of units the axis about which the sine curve is oscillating is above or below 0. On Monday at 12:00 p.m., Marissa noticed the amount of paper waiting to be recycled was 3 tons and the amount of paper waiting to be recycled was increasing. a. How many tons of paper will be waiting to be recycled at 12:00 p.m. 123 days from Monday Round to the nearest tenth. 3.8 tons b. How many tons of paper will be waiting to be recycled at 12:00 p.m. 206 days from Monday Round to the nearest tenth. 2.6 tons c. How many days from Monday will the amount of paper waiting to be recycled be the greatest 90 d. How many days from Monday will the amount of paper waiting to be recycled be the least 270 498 Chapter 10 Trigonometric Functions and Identities
8 Bella does freelance marketing work and is designing a logo for a small cafe that offers free wireless Internet access. The company asked Bella to design a black circle with a white pie slice, as shown below. The logo has a circumference of 30π centimeters and the length of the intercepted arc of the white pie slice is 5π centimeters. a. What is the measure of the central angle of the white pie slice in radians see margin b. What is the measure of the central angle of the white pie slice in degrees 60° c. If Bella enlarges the logo so that the circumference of the circle is 720π centimeters, will the length of the intercepted arc of the white pie slice change Will the central angle of the white pie slice change yes; no 9 Byron is currently at a convenience store. He is going to drive to the soccer field. He knows that if it were possible to travel directly in a straight line from the convenience store to the soccer field, the distance would be 6.5 miles. He also knows that the angle that is formed by the straight line going directly west and the straight line going directly to the soccer field measures 30°. a. Approximately how far should Byron travel west Round to the nearest tenth. 5.6 mi b. Approximately how far should Byron travel north Round to the nearest tenth. 3.3 mi 10 Lola decided to rent a canopy for her graduation party. Lola drives three stakes supporting the canopy into the ground at points A, B, and C. The distance between A and B is 11 meters. The distance between A and C is 17 meters. The angle formed by the straight line going from A to B and the straight line going from A to C is 29°. a. What type of triangle is formed by the straight line going from A to B, the straight line going from A to C, and the straight line going from B to C oblique b. What is the area of the triangle that is formed by the straight line going from A to B, the straight line going from A to C, and the straight line going from B to C Round to the nearest tenth. 45.3 m 2 Math Applications 499
Page 1 and 2:
Chapter 10 Contents 10.1 Right Tria
Page 3 and 4:
Lesson 10.1 Right Triangle Trigonom
Page 5 and 6:
Solution Use the definitions of the
Page 7 and 8:
Solve for x in each right triangle.
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: 3 Cale, Tammie, and Allison are mem
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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