Problems 89 and 90 require the following discussion: The shortest distance between two points on Earth’s surface can be determined from the latitude and longitude of the two locations. For example, if location 1 has ( lat, lon ) = ( α 1 , β 1 ) and location 2 has ( l a t , l o n ) = ( α 2 , β 2 ) , the shortest distance between the two locations is approximately d = r cos − 1 [ ( cos α 1 cos β 1 cos α 2 cos β 2 ) + ( cos α 1 sin β 1 cos α 2 sin β 2 ) + ( sin α 1 sin α 2 ) ] , where r = r a d i u s o f E a r t h ≈ 3960 miles and the inverse cosine function is expressed in radians. Also, N latitude and E longitude are positive angles, and S latitude and W longitude are negative Source: www.infoplease.com Shortest Distance from Chicago to Honolulu Find the shortest distance from Chicago, latitude 41 ∘ 50 ' N , longitude 87 ∘ 37 ' W , to Honolulu, latitude 21 ∘ 18 ' N , longitude 157 ∘ 50 ' W . Round your answer to the nearest mile.
Problems 89 and 90 require the following discussion: The shortest distance between two points on Earth’s surface can be determined from the latitude and longitude of the two locations. For example, if location 1 has ( lat, lon ) = ( α 1 , β 1 ) and location 2 has ( l a t , l o n ) = ( α 2 , β 2 ) , the shortest distance between the two locations is approximately d = r cos − 1 [ ( cos α 1 cos β 1 cos α 2 cos β 2 ) + ( cos α 1 sin β 1 cos α 2 sin β 2 ) + ( sin α 1 sin α 2 ) ] , where r = r a d i u s o f E a r t h ≈ 3960 miles and the inverse cosine function is expressed in radians. Also, N latitude and E longitude are positive angles, and S latitude and W longitude are negative Source: www.infoplease.com Shortest Distance from Chicago to Honolulu Find the shortest distance from Chicago, latitude 41 ∘ 50 ' N , longitude 87 ∘ 37 ' W , to Honolulu, latitude 21 ∘ 18 ' N , longitude 157 ∘ 50 ' W . Round your answer to the nearest mile.
Problems 89 and 90 require the following discussion:
The shortest distance between two points on Earth’s surface can be determined from the latitude and longitude of the two locations. For example, if location 1 has
and location 2 has
, the shortest distance between the two locations is approximately
, where
miles and the inverse cosine function is expressed in radians. Also,
latitude and
longitude are positive angles, and
latitude and
longitude are negative
Source: www.infoplease.com
Shortest Distance from Chicago to Honolulu Find the shortest distance from Chicago, latitude
, longitude
, to Honolulu, latitude
, longitude
. Round your answer to the nearest mile.
I need to find the distance of y in the diagram. I've been told that the radius of the circle is 100ft and that the angle theta is 30 degrees.
I'm having a hard time setting up my equation. I'm trying to use the pythagorean theorem though I can't find a way to make all of variables in terms of a single variable. Since I know that in a 30-60-90 triangle the hypotuse is equal to 2t, the medium length leg is equal to t(radical 3) and the smallest leg is "t," I've tried setting up the following t=(100+x)/2 for the hypotnuse and t=((14+b)(radical 3))/3 for the meduim length leg. Though, I can't put this into the pythagorean theorem and solve it because I still have two unknown variables.
Am I setting the problem up right?
3. The distance between two distinct points (x1, y1) and (x2, y2) is given by the formula
Activity no. 12 Solve the following problems.
1. Circle O and P are externally tangent. If
the radius of a circle O is 12 cm and the
radius of circle P
Is 8 cm. How far is the center of circle O
from the center of circle P.?
2. Circle Q and R are externally tangent. If
the radius of circle Q is 10 cm and the
diameter of circle R is 8 cm. How far is
the center of circle Q from that of circle R
?
Chapter 7 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
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