Question

The earth takes $24$ hours to rotate about its own axis. Through what angle will it turn in $4$ hours and $12$ minutes?

• A. ${63}^{\circ }$
• B. ${64}^{\circ }$
• C. ${65}^{\circ }$
• D. ${70}^{\circ }$

Answer 1

The correct option is A ${63}^{\circ }$

$24hrs=24\times 60min=1440min$
$4hrs12mins=4\times 60+12=252min$
$1440:{360}^{\circ }=252:x^{\circ }$
$x=\frac{252\times {360}^{\circ }}{1440}={63}^{\circ }$