1) (6 points) Convert the angle 31243 42\" to decimal degrees and round to the n

Question

1) (6 points) Convert the angle 31243 42" to decimal degrees and round to the nearest hundredth of a degree. 2) (6 points) Find the angle of least positive measure coterminal with 1306 3) (6 points) The minute hand of a clock is 11 inches long. What distance does its tip move in 16 minutes? Give an exact answer. ) (6 points) A tree casts a shadow 27 m long. At the same time, the shadow cast by a 57-centimeter-tall statue i 87 cm long. Find the height of the tree to the nearest tenth if necessary.

Explanation / Answer

1) 312 degrees 43 min 42 sec

1 degree = 60 min

43 min = 43/60 degree

42 sec = 42/ 60*60 degrees

312 degrees 43 min 42 sec = 312.73 degrees

2) 1306 degrees

1306 - 3*360

coterminal angle = 226 degrees

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