Answer:
The correct option is b.
Step-by-step explanation:
The area of a rectangle is
[tex]A=length\times width[/tex]
The area of rectangle is 48 square units and the width of the rectangle is 6 units.
[tex]48=length\times 6[/tex]
Divide both sides by 6.
[tex]8=length[/tex]
The length of the rectangle is 8.
In a right angled triangle,
[tex]\tan\theta=\frac{perpendicular}{base}[/tex]
In triangle JKL,
[tex]\tan (\angle KLJ)=\frac{JK}{KL}[/tex]
Opposite sides of a rectangle are same.
[tex]\angle KLJ=\tan^{-1}(\frac{6}{8})[/tex]
[tex]\angle KLJ\approx 36.87[/tex]
The measure of angle KLJ is 36.87. Therefore the correct option is b.
