gaiwollol Kongre 53. Grade Resistance Approximate to the nearest tenth of a degree for the given grade resistance F and vehicle weight W, where F = W sin 0. (a) F = 350 lb, W = 6000 lb (b) F = 160 lb, W = 4500 lb

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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Related questions
Question
Please explain question 53
(a) Find the angular velocity of the Ferris wheel in
radians per second.
(b) What is the linear speed in feet per second of a per-
son who is riding this Ferris wheel?
50. Fan Speed The blades of a fan have a 25-inch diam-
eter and rotate at 400 revolutions per minute.
(a) Find the angular velocity of a fan blade.
(b) Estimate the linear speed in inches
the tip of a fan blade.
per
second at
51. Height of a Tree Eighty feet from the trunk of a tree
on level ground, the angle of elevation of the top of
the tree is 48°. Estimate the height of the tree to the
nearest foot.
52. Angle of Elevation Find the angle of elevation of the
top of a 35-foot building at a horizontal distance of
52 feet.
53. Grade Resistance Approximate to the nearest
tenth of a degree for the given grade resistance F and
vehicle weight W, where F = W sin 0.
(a) F = 350 lb, W = 6000 lb
(b) F = 160 lb, W 4500 lb
54. Highway Grade (Refer to Exercise 53.) Suppose an
uphill grade of a highway can be modeled by the line
y = 0.05x.
(a) Find the grade of the hill.
(b) Determine the grade resistance for a gravel truck
that weighs 30,000 pounds.
55. Distance Between Cities Cheyenne, Wyoming, and
Colorado Springs, Colorado, have nearly the same
longitude of 104°45'W. The latitude of Cheyenne
De
age
57. Mc
ten
the
T
T
Sour
(b)
(c)
58. Pha
0, th
Solve
Transcribed Image Text:(a) Find the angular velocity of the Ferris wheel in radians per second. (b) What is the linear speed in feet per second of a per- son who is riding this Ferris wheel? 50. Fan Speed The blades of a fan have a 25-inch diam- eter and rotate at 400 revolutions per minute. (a) Find the angular velocity of a fan blade. (b) Estimate the linear speed in inches the tip of a fan blade. per second at 51. Height of a Tree Eighty feet from the trunk of a tree on level ground, the angle of elevation of the top of the tree is 48°. Estimate the height of the tree to the nearest foot. 52. Angle of Elevation Find the angle of elevation of the top of a 35-foot building at a horizontal distance of 52 feet. 53. Grade Resistance Approximate to the nearest tenth of a degree for the given grade resistance F and vehicle weight W, where F = W sin 0. (a) F = 350 lb, W = 6000 lb (b) F = 160 lb, W 4500 lb 54. Highway Grade (Refer to Exercise 53.) Suppose an uphill grade of a highway can be modeled by the line y = 0.05x. (a) Find the grade of the hill. (b) Determine the grade resistance for a gravel truck that weighs 30,000 pounds. 55. Distance Between Cities Cheyenne, Wyoming, and Colorado Springs, Colorado, have nearly the same longitude of 104°45'W. The latitude of Cheyenne De age 57. Mc ten the T T Sour (b) (c) 58. Pha 0, th Solve
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