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The difference of the angles alpha = 80 ° and beta = 32 ° 50'20 " is:​

User Neits
by
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2 Answers

0 votes


\\ \tt\hookrightarrow \beta=32°(50/60)'+(20/3600)

Now

Difference


\\ \tt\hookrightarrow 80-32.84=47.16°

User Alex Feinman
by
3.0k points
5 votes

Answer:

47.16° (nearest hundredth)

Explanation:

First, you need to convert the beta angle from DMS (degrees, minutes, seconds) to decimal.

Divide the minutes part by 60 (as there are 60 minutes in an hour) and the seconds part by 3600 (as there are 3600 seconds in an hour):

β = 32° 50' 20"

β = 32° + 50'/60 + 20"/3600

β = 5911/180

β = 32.8388888...°

Therefore, the difference between the angles:

α - β = 80 - 32.8388888... = 47.16° (nearest hundredth)

User James Croft
by
3.4k points