Trigonometric Identities Question 283
Question: What is the angle (in circular measure) between the hour hand and the minute hand of a clock when the time is half past 4?
Options:
A) $ \frac{\pi }{3} $
B) $ \frac{\pi }{4} $
C) $ \frac{\pi }{6} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Angle traced by the hour hand in 12 hours $ =360{}^\circ $ Angle traced by it in $ 4hr30\min ( 4h+\frac{30}{60}hr )=\frac{9}{2}hr $ $ =\frac{9}{2}\times \frac{360}{12}=135{}^\circ $ Angle traced by minute hand is $ 60{}^\circ \min =360{}^\circ $ Angle traced by it in $ 30\min =\frac{30}{60}\times 360=180{}^\circ $ Required Angle $ =180{}^\circ -135{}^\circ =45{}^\circ $
BETA
