Question

Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that angleJ and angleK are complementary, and that the measure of angleJ is 49 degrees, 28 minutes, 21 seconds. What is the measure of angleK?

The measure of angleK is degrees, minutes, and seconds.

Answer 1

9514 1404 393

Answer:

40° 31' 39"

Explanation:

Base-60 arithmetic is just like base-10 arithmetic in that you borrow the value of the base from the next-higher "digit" when you need to subtract a larger number from a smaller number.

90 : 00 : 00 - 49 : 28 : 21 . . . . . we used a colon (:) to separate "digits"

= 89 : 59 : 60 -49 : 28 : 21

= 40 : 31 : 39

The measure of angle K is 40° 31' 39".