Question

Find the difference of the angles. Write your answer in DºM'S" form.

120°45'29" and 13°38'7"
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Answer 1

71

71 as i am just wafling and wafling

Answer 2

107° 7' 22"

Explanation:

You want the difference of the angles:

120° 45' 29" - 13° 38' 7"

Difference

The difference can be computed directly. No rewrites are necessary.

120° 45' 29" - 13° 38' 7"

= (120° -13°) +(45' -38') +(29" -7")

= 107° 7' 22"

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Additional comment

If one of these differences had come up negative, then a "borrow" from the next higher division would have been necessary. That's when we need to make use of the facts that there are 60 seconds in a minute, and 60 minutes in a degree. For example, 2° -3' = 1° 57'.

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