# Ethernet cable

Charles and George are passionate gamers and live in houses that are exactly opposite each other across the street, so they can see each other through the windows. They decided that their computers will connect the telephone cable in order to play games together. Charles lives on the first floor and the window is at a height of 4.5 meters above the sidewalk. George lives on the third floor and the window has a height of 10.1 meters.
Street from house to house 10 meters wide. How many meters telephone cable will need for this connection?

Each of them counts that will have a computer located in a room 2 meters from the window.

Result

x =  15.5 m

#### Solution:

$a=\sqrt{ 10^2+(10.1-4.5)^{ 2 } } \doteq 11.4612 \ \text{m} \ \\ x=2+2+a=2+2+11.4612 \doteq 15.4612 \doteq 15.5 \ \text{m}$

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