Question

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

Answer 1

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

Now

Difference

`\\ \tt\hookrightarrow 80-32.84=47.16°`

Answer 2

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)