Clock hands

The hands-on clock shows the time of 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later.

Correct answer:

Φ =  79 °

Step-by-step explanation:

12:02+3:00 = 15:02 t1=12:2=12 hr 2 min =12+602=12.0333 hr12.0333 t=t1+3=30361+3=30361+303 30=30361+3090=30361+90=3045115.0333 h  h=12360=30 °/h m=60360=6 °/m  H=t12=3045112=304513012 30=3045130360=30451360=30913.0333 h M=(HH) 60=(3.03333.0333) 60=2 m  α=H h=3091 30=3091 30=302730=91  β=M m=2 6=12   Φ=αβ=9112=79=79°

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Do hands of a clock form linear equation in two variables ?

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