The answer is:
"
0.37 degrees" ; or, write as: "
0.37 ° " .
_____________________________________________________________Explanation:_____________________________________________________________Given: 22' 36'' ; or: "22 minutes and 36 seconds" ;
→ Convert to "degrees" ; to the nearest "hundredth" ;
____________________________________________________ → 22 minutes and 36 seconds = 22
minutes .
_____________________________________________________{Note the following "exact measurements" :
"60 minutes = 1 degree" .
"60 seconds = 1 minute" .} .
_____________________________________________________Note:
;
= "
" ;
_________________________________________________________________or: "
=
" ;
_________________________________________________________________ → " \frac{6}{10} [/tex] = 0.6 " .
_________________________________________________________________As such:
→ " 22' 36" = 22
;
= 22 \frac{6}{10} [/tex] ;
= 22.6 ' ;
________________________________________________________________Since: 60 minutes = 1 degree ← {exact measurement}.
22.6 minutes * (1 degree/ 60 minutes) = [(22.6 * 1) / 60] degrees;
= [(22.6) / 60] degrees ;
= 0.3766666666666667 degrees ;
____________________________________________________________ → We are asked to round to the nearest "hundredth" degree.
→ Given: "0.3766666666666667 degrees
" ;
We examine: "0.376 " ;
→ Look at the number in the "thousandths place"; if it is 5 to 9, we round up;
if it is 0 to 4, we round down. In this case, the number is "6" (which is "5 to 9"), so we round up.
___________________________________________________________ → The answer is: "
0.37 degrees" ; or, write as: "
0.37 ° " .
___________________________________________________________