Question

1800" in sexagesimal system is equal to ​​​​​degrees in decimal degree system.

Answer 1

Here, for converting 1800'' in decimal degree system we know,
$1°=60\text{'}\mathrm{and}1\text{'}=60"\Rightarrow 1°=(60\times 60)"=3600"\mathrm{or}1"=\left(\frac{1}{3600}\right)°$
Thus, $1800"=\left(1800\times \frac{1}{3600}\right)°=0.5°$Hence, 1800" in sexagesimal system is equal to 0.5 degrees in decimal degree system.