## anonymous 3 years ago the hands of a clock have lengths 3cm and 5cm. Find the distance between the tips of the hands at 4 o´clock. Worked solutions please

1. Mertsj

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2. Mertsj

The angle made by the hands is 120 degrees. How about the law of cosines to find the missing side of the triangle?

3. anonymous

how do i measure that angle?

4. Mertsj

$c^2=a^2+b^2-2bc \cos C$

5. Mertsj

How many degrees in a circle?

6. anonymous

360

7. Mertsj

Since there are 12 hours on the clock face, divide 360 by 12.

8. Mertsj

Since there are 12 hours on the clock face, divide 360 by 12.

9. anonymous

thaanks! :)

10. Mertsj

Do you understand?

11. Mertsj

When the hand moves from the 12 to the 1, it goes 30 degrees. So when it goes from the 12 to the 4 it goes 4 times 30 or 120 degrees.

12. anonymous

yes! thank you!

13. Mertsj

yw