Question

Divide 44degree8min. Into two parts such that the no. Of sexagesimal sec. In one part may be equal to no. Of centisimal sec. in other parts
.

Answer 1

Emimilili

11 Points

a =83621,05263 ".

you have a =first angle in sec sexa and b = lhe other angle in cent (grad) → (a" and b g.).

a = b (value but Remember b is in g. so b g. = (9/10 ) b ")

but with units you have a +(9/10)b = 44° 8' =((44×60)+8 )X60 = 158 880" .

1f a = b, Then we can also write a + ( 9/10)a = 158 880 → a = 83621, 05263"

so b= 83621, 05263 g. = 83621,05263 × ( 9/10) = 7525 8,94737"

You can ckeck.:

a = 83621, 05263" / (60×60 )=23,22807018 °= 23 ° 13' 41, 05263"

b =83621,05263g, = 7 5258, 94737"/ (60X 60 )= 20° 54' 18,94 737" (ps: b = 25g.80' 89,6686")

a+b= 23° 13' 41,05 263" + 20 ° 54' 18, 94737" = 43°67'60''= 44 ° 8 = 83621, 05263" + 75258, 94737" = 158 880"

with same seconds in " OR g, : 83621 , O5263