Answer:
(a) The angle swept by the hour hand is 297⁰30′
(b) The exact angle between the minute and hour hand is 132⁰30′
Step-by-step explanation:
Given;
(a) angle swept by the hour hand between noon and 9:55 pm
between 12 pm and 9pm, there are 9 hours = 9 x 60 = 540 mins
9.55 pm = 540 mins + 55 mins = 595 mins
The hour hand moves 0.5 degree per minute
1 mins ---------------- 0.5 degrees
595 mins --------- ?
= 297⁰30′
(b) the exact angle between the minute and hour hands at 1:25 pm
for 25 mins, the hour hand had moved 12.5 degrees
Between 1 and 5, there are 20 mins moved by the minutes hand = 20 x 6°
= 120⁰
total angle = 12.5⁰ + 120⁰ = 132⁰30′
