The measure of the segment JK is 6.5
To determine the measure of the segment, we need to know about the trigonometric identities.
These identities are listed as;
- sine
 - cosine
 - tangent
 - cotangent
 - secant
 - cosecant
 
Then, we have that;
cos 23 = 6/JK
find the cosine value 
JK = 6/0.92
JK = 6. 5