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 ( l a t , 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 Honolulu to Melbourne, Australia Find the shortest distance from Honolulu to Melbourne, Australia, latitude 37 ° 47 ' S , longitude 144 ° 58 ' E . 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 ( l a t , 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 Honolulu to Melbourne, Australia Find the shortest distance from Honolulu to Melbourne, Australia, latitude 37 ° 47 ' S , longitude 144 ° 58 ' E . Round your answer to the nearest mile.
Solution Summary: The author calculates the Shortest Distance from Honolulu to Melbourne using a formula.
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 Honolulu to Melbourne, Australia Find the shortest distance from Honolulu to Melbourne, Australia, latitude
, longitude
. Round your answer to the nearest mile.
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
?
I have a Tangents problem.
These problems can be particularly tricky, especially
because there are three similar right triangles and two
of the three lie inside the larger one.
Exercise #3: In the diagram shown, altitude RU has
been drawn to hypotenuse ST from right angle R.
(a)
Draw the two smaller triangles in the same
orientation as
ARST
R
T
(b)
If RU = 10 and TU =5, then find the length
of US
Chapter 7 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
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