Answered

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

Sagot :

Since3122015
Hour hand: [tex]\frac{35\pi}{18}[/tex]

Minute hand: [tex]\frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}[/tex]

[tex]\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}[/tex]

Acute angle [tex]<\frac{\pi}{2}[/tex]
Right angle [tex]=\frac{\pi}{2}[/tex]
Obtuse angle [tex]>\frac{\pi}{2}[/tex]
Straight angle [tex]=\pi[/tex]

[tex]0<\frac{\pi}{9}<\frac{\pi}{2}<\pi[/tex]

Acute angle.
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