Question

can somebody please show me how to solve this
convert the angle measure to decimal degrees, the nearest hundredth of a degree.

25° 25' 40''

Answer 1

You have 25 minutes and 40 seconds (in addition to the 25 degrees).

25 minutes x (1 degree / 60 minutes) +
40 seconds x (1 degree / 3600 seconds) +
25 degrees

Answer 2

Use the same conversion factors you had in the previous problems:
1 degree = 60 minutes
1 minute = 60 seconds
Start with the seconds amount:
40 seconds * (1 minute/60 seconds) * (1 degree/60 minutes) = 40/(60 * 60) degrees
25 minutes * (1 degree/60 minutes) = 25/60 degrees
25 degrees = 25 degrees
Now do the operations and add all the right sides together.

Answer 3

So, you have 25 + 25/60 + 40/3600

Answer 4

This simplifies to:

25 + 5/12 + 1/90

Answer 5

thank you both so much

Answer 6

Good luck to you in all of your studies and thx for the recognition! @erin512

And you're welcome!

Answer 7

what would the final answer be in this case @tcarroll010? 25 degrees and what else?

Answer 8

np, continuing on:

25 + 75/180 + 2/180

25 + 77/180

25 + 0.4277777777777

25.43

Answer 9

25.43 is the answer to what?

Answer 10

To the number of decimal degrees to the nearest hundredth. Unless there is something more to the problem that is not stated in the problem.

Answer 11

oh ok, so is that the final answer or is there more than 1? :)

Answer 12

That should be it. Do you have an answer key to check it against?

Answer 13

no but this is a practice assignment and once i submit it i can get the answer key to check it with :) thanks so much for the explanation!!!

Answer 14

you're quite welcome and have a nice day!

Answer 15

@tcarroll010 if i post one more of these can you help explain it again just so i can get a better understanding? its good practice for me, thanks so much :)

Answer 16

ill post it now

Answer 17

ok