The approximate value of k using the law of sines will be 2.05.
Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.
In Triangle JKL
Angle K J L = 58 degrees
Angle J L K = 38 degrees.
The length of J K is 2.3
The length of J L is k.
We need to determine the approximate value of k using the law of sines.
WE know that
Angle K J L + Angle J L K + Angle LKJ = 180
58 + 23 + Angle LKJ = 180
Angle LKJ =99 degrees
Using Law of sines;
[tex]\dfrac{k}{sin K} = \dfrac{j}{sin J} \\\\\dfrac{k}{sin 99} = \dfrac{2.3}{sin 58} \\\\k = 2.05[/tex]
Learn more about law of sines;
https://brainly.com/question/16886213
#SPJ5
