Meteorological calculations In the mid-latitudes it is some- times possible to estimate the distance between consecutive regions of low pressure. If o is the latitude (in degrees), R is Earth's radius (in kilometers), and v is the horizontal wind velocity (in km/hr), then the distance d (in kilometers) from one low pressure area to the next can be estimated using the formula 1/3 vR d = 27 0.52 cos o (a) At a latitude of 48°, Earth's radius is approximately 6369 kilometers. Approximate d if the wind speed is 45 km/hr. (b) If v and R are constant, how does d vary as the lati- tude increases?
Meteorological calculations In the mid-latitudes it is some- times possible to estimate the distance between consecutive regions of low pressure. If o is the latitude (in degrees), R is Earth's radius (in kilometers), and v is the horizontal wind velocity (in km/hr), then the distance d (in kilometers) from one low pressure area to the next can be estimated using the formula 1/3 vR d = 27 0.52 cos o (a) At a latitude of 48°, Earth's radius is approximately 6369 kilometers. Approximate d if the wind speed is 45 km/hr. (b) If v and R are constant, how does d vary as the lati- tude increases?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Meteorological calculations In the mid-latitudes it is some-
times possible to estimate the distance between consecutive
regions of low pressure. If o is the latitude (in degrees),
R is Earth's radius (in kilometers), and v is the horizontal
wind velocity (in km/hr), then the distance d (in kilometers)
from one low pressure area to the next can be estimated
using the formula
1/3
vR
d = 27
0.52 cos o
(a) At a latitude of 48°, Earth's radius is approximately
6369 kilometers. Approximate d if the wind speed is
45 km/hr.
(b) If v and R are constant, how does d vary as the lati-
tude increases?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67775ed7-5dd5-41a5-b53a-d10e9d62b71d%2F462bfa46-eb49-4e69-898c-ab41b2bfcb5a%2F2ac911s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Meteorological calculations In the mid-latitudes it is some-
times possible to estimate the distance between consecutive
regions of low pressure. If o is the latitude (in degrees),
R is Earth's radius (in kilometers), and v is the horizontal
wind velocity (in km/hr), then the distance d (in kilometers)
from one low pressure area to the next can be estimated
using the formula
1/3
vR
d = 27
0.52 cos o
(a) At a latitude of 48°, Earth's radius is approximately
6369 kilometers. Approximate d if the wind speed is
45 km/hr.
(b) If v and R are constant, how does d vary as the lati-
tude increases?
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