The length of LJ is 18 feet.
What is an arc measure of a circle?
'An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees.'
According to the the given problem,
If we draw a dotted line from H to P and from J to P,
∠HKP = ∠JLP (Similarity of triangles)
HP = JP
KP = LP
⇒ ΔHKP ≅ ΔJLP
⇒ KH = LJ
Now, joining G and P,
GP = HP (radius of the circle)
PM is perpendicular to GH.
⇒ PM equally divides GH .
⇒ KH = GK = [tex]\frac{1}{2}[/tex] of GH
= [tex]\frac{1}{2}[/tex] × 36
= 18 feet
Hence, we can conclude that the length of LJ is 18 feet.
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