Question

I need help explanation if possible

Answer 1

208.28°

Explanation:

The whole number of the degree is 208°

• 16' can be written as 16/60 = 4/15 = 0.27
• 20'' can be written as 20/3600 = 1/180 = 0.0056 = 0.01

Total Degree Measure

• 208 + 0.27 + 0.01
• 208.28°

Answer 2

208.27°

Explanation:

there are 60' in 1 degree

there are 3600'' in 1 degree , then

16' =
`(16')/(60)` = 0.2666..°

20'' =
`(20'')/(3600)` = 0.005555...°

then

208° 16' 20''

= 208 + 0.266 + 0.00555 = 208.27° ( to the nearest hundredth )