Convert the angle 301 degree 413 to decimal degrees and roun

Convert the angle 301 degree 4\'13\" to decimal degrees and round to the nearest hundredth of a degree Find the angle of least positive measure coterminal with 1304 degree. The minute hand of a clock is 11 inches long. What distance does its tip move in 26 minutes? Give an exact answer. A tree casts a shadow 36 m long. At the same time, the shadow cast by a 41-centimeter- tall statue is 82 cm long. Find the height of the tree to the nearest tenth if necessary.

Solution

1)1 minute =1_/60 degree, 1second =1_/3600 degree

301^o4\'13\"

=(301+(4_/60)+(13_/3600))^o

=301.070278^o

=301.07^o

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2)1304^o

=1304^o-3*(360^o)

=1304^o-1080^o

=224^o

least positive coterminal angle is 224^o