Let's draw a perpendicular GI from the point G on FJ.
So, GI = HJ = 24 ft
And IJ = GH = 24 ft
Let's assume FI = x.
Now we can use right triangle FIG to find the length of x.
By using Pythagorean formula we can set up an equation as following:
x² + 24² = 30²
x² + 576 = 900
x² = 900 - 576 Subtract 576 from each sides.
x² = 324
x = 18
Now FJ = FI + IJ
= 18 + 24
= 42
So, length of line segment FJ is 42 feet.
Hope this helps you!
