Question

convert the angle measure to decimal degrees, the nearest hundredth of a degree.

80° 50' 18''

Answer 1

So, to think through these sorts of problems, the easy part is realizing that you have 80 degrees and some part of a degree, so the answer will look like:

80.something

Also, you have 50 minutes where 60 minutes equals a full degree, so you will be adding on 50/60 or 5/6 of a degree, and then you add on 18/3600 of a degree because there are 3600 seconds in a degree. Think of a degree as an hour.

Answer 2

start by realising 18 seconds is 0.3 of a minute...


then decimal value in converting minutes and seconds to decimal
degrees

80 + 50.3/60

Answer 3

So, you have 80 + 50/60 + 18/3600

Answer 4

80 + 500/600 + 3/600

80 + 503/600

80.838333333333

80.84

Answer 5

thanks so much :) i understand it much better now. thank you @campbell_st as well :)

Answer 6

again you're welcome. And I'm glad you are understanding this @erin512