Using the Pythagorean theorem, the length of line segment FJ is: 42 ft.
How to Apply the Pythagorean Theorem?
To find the length of line segment FJ, we need to apply the Pythagorean theorem to find the length of the segment from F to the point, say point O, on FJ where a right triangle FOG will be gotten.
Thus, we have:
FO = √(GF² - GO²)
FO = √(30² - 24²)
FO = 18 ft.
FJ = FO + GH
Plug in the values
FJ = 18 + 24
FJ = 42 ft.
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