Answer
$543m$
Work Step by Step
As we know that:
$\frac{\Delta g}{g}=\frac{-2\Delta R}{R}$
This can be rearranged as:
$n=\Delta R=\frac{-\Delta g R}{g\times2}$
We plug in the known values to obtain:
$n=\frac{-(-1.67\times 10^{-3})(6.37\times 10^6)}{2\times 9.8}$
$n=543m$
