Can you explain question number 78 for me I’m lost

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Can you explain question number 78 for me I’m lost
20.
he
0
r
73. 0₁ = -45°, 02 = 90°, r₁ = 6 in., r2 = 26 in.
74. 0₁ = -60°, 02 = 60°, r₁ = 0.5 ft, r2 = 2.5 ft
75. 0₁= 15°, 0₂ = 195°, r₁ = 21 cm, 72 = 95 cm
76. 0₁ = 43°, 0₂ = 178°, r₁ = 0.4 m, r2 = 1.8 m
Applications
17. Bicycle Tire A bicycle has a tire 26 inches in diameter
that is rotating at 15 radians per second. Approximate
the speed of the bicycle in feet per second. 000
odai tadW
si to
78. Skateboard Wheel The wheels on a skateboard have
a diameter of 2.25 inches. If a skateboarder is trav-
eling downhill at 15 miles per hour, determine the
angular velocity of the wheels in radians per second.
boab
79. Ferris Wheel A large Ferris wheel has a diameter of
140 feet. It completes 1 revolution every 420 seconds.
(a) Find the angular velocity in radians per second.
drasl
(b) What is the linear speed of a person who is riding
this Ferris wheel?
80. Location of the North Star Presently the North Star,
Polaris, is located near the true North Pole. However,
because Farth
d 22.5° Earth precesses like
Transcribed Image Text:20. he 0 r 73. 0₁ = -45°, 02 = 90°, r₁ = 6 in., r2 = 26 in. 74. 0₁ = -60°, 02 = 60°, r₁ = 0.5 ft, r2 = 2.5 ft 75. 0₁= 15°, 0₂ = 195°, r₁ = 21 cm, 72 = 95 cm 76. 0₁ = 43°, 0₂ = 178°, r₁ = 0.4 m, r2 = 1.8 m Applications 17. Bicycle Tire A bicycle has a tire 26 inches in diameter that is rotating at 15 radians per second. Approximate the speed of the bicycle in feet per second. 000 odai tadW si to 78. Skateboard Wheel The wheels on a skateboard have a diameter of 2.25 inches. If a skateboarder is trav- eling downhill at 15 miles per hour, determine the angular velocity of the wheels in radians per second. boab 79. Ferris Wheel A large Ferris wheel has a diameter of 140 feet. It completes 1 revolution every 420 seconds. (a) Find the angular velocity in radians per second. drasl (b) What is the linear speed of a person who is riding this Ferris wheel? 80. Location of the North Star Presently the North Star, Polaris, is located near the true North Pole. However, because Farth d 22.5° Earth precesses like
Expert Solution
Step 1: Given information

Diameter of wheel = 2.25 in

c i r c u m f e r e n c e space o f space w h e e l space equals straight pi straight D equals space 2.25 straight pi space i n c h e s

traveling at a rate of 15 mph

table row cell D i s tan c e space t r a v e l e d space i n space 1 space h r. space end cell equals cell 15 space m i l e s end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell space 15 asterisk times 5280 space f t end cell row blank equals cell space 15 asterisk times 5280 asterisk times 12 space i n c h e s end cell end table

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