Question

Pls help me 20 points

Answer 1

the length of the minute hand is 36/100 . 150 = 54 (mm)

y is the distance between the minute hand and the hour hand now

x is the angle beween the minute hand and the hour hand, so we have:

cos x = 36/54 = 2/3 => sin x =
`\sqrt{1-((2)/(3))^(2) }=(√(5) )/(3)=(y)/(54)` => y = 18√5 (mm)

a) see in the ques, u can see that in 45', the minute hand will move a distance equal to 2 times its length and a distance = 2.18√5 (mm)

=> the distance which the minute hand will move is 54.2 + 2.18√5 = 188,50 (mm)

b) the distance which the minute hand will move in 1h is 54.4 - 18√5 = 175,75(mm)

the distance which the hour hand will move in 1h is 36.4 = 144 (mm)

=> the minute hand will move: 175,75 - 144 = 31,75(mm) further than the hour hand

Explanation: