geometry homework

Question

Find the measure of the angle formed by the hands of a clock at each time.

3:00

4:30

7:20

1:45

Answer 1

Angle formed by the hands of a clock

Ѳ = |1/2(60H+M)-6M|

1)3.00

Ѳ = |1/2(60*3+0)-6*0|

  = |1/2(180)|

  = 90degrees

2)4.30

Ѳ = |1/2(60H+M)-6M|

  = |1/2(60*4+30)-6*30|

   = |1/2(270)-180|

  = 45degrees

3)7.20

Ѳ = |1/2(60H+M)-6M|

Ѳ = |1/2(60*7+20)-6*20|

Ѳ = |1/2(440)-120|

 = 100degrees

4)1.45

Ѳ = |1/2(60H+M)-6M|

Ѳ = |1/2(60*1+45)-6*45|

Ѳ = |1/2(105)-270|

  = 217degrees