A clock has a minute hand 16 cm long and an hour hand 11 cm long. Find the distance between the outer tips of the hand at 2:25 o'clock.
A clock has a minute hand 16 cm long and an hour hand 11 cm long. Find the distance between the outer tips of the hand at 2:25 o'clock.
The angle between the clock's hands at 2:25 is 77.5o.
short hand s = 11cm, long hand l = 16cm, d = ? (d is the distance between the outer tips of the hands)
We can use cosine rule: d2 = s2 + l2 - 2sl cos(A)
d2 = 112 + 162 - 2*11*16*cos 77.5o
d = 17.344cm
A clock has a minute hand 16 cm long and an hour hand 11 cm long. Find the distance between the outer tips of the hand at 2:25 o'clock.
The angle between the clock's hands at 2:25 is 77.5o.
short hand s = 11cm, long hand l = 16cm, d = ? (d is the distance between the outer tips of the hands)
We can use cosine rule: d2 = s2 + l2 - 2sl cos(A)
d2 = 112 + 162 - 2*11*16*cos 77.5o
d = 17.344cm