Question

Determine a medida do menor angulo formado entre os ponteiros

Answer 1

$\theta=|30h-5,5m|$

a) 3h

$h=3$ e $m=0$

$\theta=|30\cdot3-5,5\cdot0|=|90|=90^{\circ}$

b) 8h30min

$h=8$ e $m=30$

$\theta=|3030\cdot8-5,5\cdot30|=|240-165|=|75|=75^{\circ}$

c) 3h45min

$h=3$ e $m=45$

$\theta=|30\cdot3-5,5\cdot45|=|90-247,5|=|-157,5|=157,5^{\circ}$.


d) 5h40min

$h=5$ e $m=40$.

$\theta=|30\cdot5-5,5\cdot40|=|150-220|=|-70|=70^{\circ}$.


e) 9h35min

$\theta=|30\cdot9-5,5\cdot35|=|270-192,5|=77,5^{\circ}$.


f) 11h50min

$h=11$ e $m=50$.

$\theta=|30\cdot11-5,5\cdot50|=|330-275|=55^{\circ}$.