Question

A clock is showing 4PM. Find the smallest angle between the 2 hands . THEN, find the distance between the tips of the hands that are 5cm and 3 cm long

Answer 1

@neer2890

Answer 2

total angle= 360
so angle between any two numbers in a clock = 360/12=30

Answer 3

so here theta= 30*4=120 degree if we are concerned about 12 hour clock.

Answer 4

\[\frac{4\ 180 {}^{\circ}}{6}=120 {}^{\circ} \]
then use the cosine law
http://en.wikipedia.org/wiki/Law_of_cosines

Answer 5

if the clock is 24 hours then
the angle between any two numbers= 360/24=15
so when it's 4PM
it should look like

here. theta= 15*16=240 degree
so the minimum is 120 degree.