Answer
$18\frac{2}{3}\ in$
Work Step by Step
The lever principle states that:
$$F_1d_1=F_2d_2.$$
We plug in the given values to get:
$$
30\times x=70\times 8\Longrightarrow x=\frac{70\times 8}{30}=18 \frac{2}{3}\ in
.$$
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