Clock Tower

What angle is betwenn hands on Clock Tower when show 17 hours and 35 minutes?

Result

x =  42.5 °

Solution:

m=360/60=6 ∘ h=360/12=30 ∘ M=35⋅ m=35⋅ 6=210 ∘ H=(5+35/60)⋅ h=(5+35/60)⋅ 30=3352=167.5 ∘ x=∣M−H∣=∣210−167.5∣=852=42.5=42.5∘=42∘30′m = 360/60 = 6 \ ^\circ \ \\ h = 360/12 = 30 \ ^\circ \ \\ M = 35 \cdot \ m = 35 \cdot \ 6 = 210 \ ^\circ \ \\ H = (5+35/60) \cdot \ h = (5+35/60) \cdot \ 30 = \dfrac{ 335 }{ 2 } = 167.5 \ ^\circ \ \\ x = |M-H| = |210-167.5| = \dfrac{ 85 }{ 2 } = 42.5 = 42.5 ^\circ = 42^\circ 30'

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