Question

A clock shows a time of 3:20.what type of angle is this

Answer 1

Hour hand:
`(35\pi)/(18)`

Minute hand:
`(11\pi)/(6)*(3)/(3)=(33\pi)/(18)`


`(35\pi)/(18)-(33\pi)/(18)\\(2\pi)/(18)\\(\pi)/(9)`

Acute angle
`<(\pi)/(2)`
Right angle
`=(\pi)/(2)`
Obtuse angle
`>(\pi)/(2)`
Straight angle
`=\pi`


`0<(\pi)/(9)<(\pi)/(2)<\pi`

Acute angle.