Question

Find the angle between the hands of the clock exactly at 2:40 am.
Options

180 degrees

160 degrees

220 degrees

170 degrees

Answer 1

Answer:

the hands of watches are at 160 dgreee

Answer 2

So, The angle between the hands of the clock exactly at $2:40$am is $170$°

Step-by-step explanation:

Given;

Find the angle between the hands of the clock exactly at $2:40$ am

Angle between each digit$=\frac{360}{12} =30$°

So, from $3$ to $8$,

Total angle$=5\times 30=150$°

∴$40min=\frac{40}{60}=\frac{2}{3} hr$

$\frac{1}{2}hr$ covered $15$°

$1hr$ covered $=2\times 15=30$°

$\frac{2}{3}hr$ covered $=30\times \frac{2}{3}=20$°

∴ Total angle $=(150+20)=170$°

∴The angle between the hands of the clock exactly at $2:40$am is $170$°