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A point on an island is located 24miles southwest of a dock. A ship leaves the dock at 1:00pm traveling west at 12 miles per hour. At what time(s) to the nearest minute is the ship 20miles from the point?
1 Answer
Explanation:
Warning: This question was asked under 'Law of Cosines'. The following does not use the 'Law of Cosines'
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Docktime 1 1/3
Based on the Pythagorean Theorem
the boat must travel #sqrt(24^2-20^2)=sqrt(176)=4sqrt(11)# miles West
to be #20# miles North of the 'point on the island'
The ratio of distance to time for the boat is
#color(white)('XXX')12' miles': 1' hour'=12' miles': 60' minutes'#
#color(white)('XXX')#or
#color(white)('XXX')(60' minutes')/(12' miles')#
Deep freeze windows 7 2019. Traveling #4sqrt(11)' miles'# will take
#color(white)('XXX')(4sqrt(11)' miles')/(color(white)('X'))xx(60' minutes')/(12 ' miles')#
Docktime 1 1/4
#color(white)('XXX')=20sqrt(11) ' minutes'# Troy bilt ltx 1842 manual.
#color(white)('XXX')=66 ' minutes'# (using a calculator, the nearest minute)
Warning: This question was asked under 'Law of Cosines'. The following does not use the 'Law of Cosines'
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Autopano pro mac crack.
Docktime 1 1/3
Based on the Pythagorean Theorem
the boat must travel #sqrt(24^2-20^2)=sqrt(176)=4sqrt(11)# miles West
to be #20# miles North of the 'point on the island'
The ratio of distance to time for the boat is
#color(white)('XXX')12' miles': 1' hour'=12' miles': 60' minutes'#
#color(white)('XXX')#or
#color(white)('XXX')(60' minutes')/(12' miles')#
Deep freeze windows 7 2019. Traveling #4sqrt(11)' miles'# will take
#color(white)('XXX')(4sqrt(11)' miles')/(color(white)('X'))xx(60' minutes')/(12 ' miles')#
Docktime 1 1/4
#color(white)('XXX')=20sqrt(11) ' minutes'# Troy bilt ltx 1842 manual.
#color(white)('XXX')=66 ' minutes'# (using a calculator, the nearest minute)
http://evbrum.xtgem.com/Blog/__xtblog_entry/19202180-sketchup-pro-2018#xt_blog. #color(white)('XXX')=1' hour ' 6' minutes'#
#1' hour ' 6' minutes'# after #1PM# is #2:06PM#
Docktime 1 1/5
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