Answer
$0.65\; H$
Work Step by Step
The given values are
Inductive reactance $X_L=245\; \Omega$.
Frequency $f=60.0\; cycles/s$
The given formula is
$\Rightarrow X_L=2\pi fL$
Substitute all the values.
$\Rightarrow 245\; \Omega=2\pi (60.0\; cycles/s)L$
Isolate $L$.
$\Rightarrow \frac{245\; \Omega}{2\pi (60.0\; cycles/s)}=L$
Simplify.
$\Rightarrow 0.64988268429\; \Omega\cdot s / cycles=L$
Use $\Omega\cdot s / cycles = H$.
$\Rightarrow 0.64988268429\; H=L$
Rounded value.
$\Rightarrow 0.65\; H=L$
