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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.

Guest Jun 23, 2015

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 #1
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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

 

civonamzuk  Jun 24, 2015
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1+0 Answers

 #1
avatar+1068 
+8
Best Answer

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

 

civonamzuk  Jun 24, 2015

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