SOLUTION: The lengths of the hour and minute hands of a clock are 4cm and 6cm respectively. What is the distance, in cm, between the tips of the hands at 2 o-clock.

Question 1152727: The lengths of the hour and minute hands of a clock are 4cm and 6cm respectively. What is the distance, in cm, between the tips of the hands at 2 o-clock.
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.


Coordinates for the tip of the shorter hand at this time are  (,) = (4*cos(60°),4*sin(60°)) = (,) = (,).


Coordinates for the tip of the longer hand at this time are (,) = (0,6).


Now apply the formula for the distance between two points in a coordinate plane given by their coordinates


     =  + .


In your case,  dx =  = -2;  dy =  = .


Therefore,    =  + .


At this point, I leave it to you to complete calculations.


You just have all needed instructions, and the way is clear.

-------------

Happy calculations (!)

RELATED QUESTIONS
The lengths of the hour and minute hands of a clock are 4 cm and 6 cm respectively. What... (answered by ikleyn,addingup)

If the length of the hour and the minute hands of a clock are 4 cm and 6 cm,... (answered by lwsshak3)

What is the smaller angle in degrees between the hour and minute hands of a clock at... (answered by Alan3354)

A clock has hour and minute hands 1 and 1.6 inches long respectively. At what rate are... (answered by robertb,ikleyn)

The hour and minute hands of the clock are 4.5 ft and 6.0 ft respectively. How fast are... (answered by Alan3354)

the minute hand of a clock is 3 cm longer then the hour hand. if the distance between the (answered by edjones)

Find the exact angle measure between the minute and the hour hands at 1:22 PM of a... (answered by josmiceli)

what time between 9 and 10 o clock are the hands of clock the same distance from... (answered by Theo)

In a circle of radius 5cm, there are two parallel chords of lengths 8cm and 6cm... (answered by oscargut)