At 8:30, the hour hand and the minute hand of clock form an angle of
(a)80º
(b)75º
(c)70º
(d)60º
Answer
Answer (as printed): B
Explanation
In 1 hour, the hour hand’s make the angle of 30º. 30 The hour hand make the angle of xº in 8 hours. 60 1 ⇒ x = 30 × 8 º 2 17 = 30 × = 225º 2 The minute hand make the angle in 1 minute = 6º Minute hand makes the angle in 30 minutes = (6 × 30)º = 180º Required angle = 255º–180º = 75º
Explanation as extracted from the printed page; notation may be imperfect.