Question $8(7$ points$)$

A mercury barometer reads $746\mathrm{.}2$ mm on the roof of a building and $760\mathrm{.}0$ mm on the ground. Assuming a constant value of $1\mathrm{.}29k\frac{g}{m^3}$ for the density of air, determine the height of the building in meters.

$g=9\mathrm{.}80\frac{m}{s^2}$

$1\mathrm{.}0$ mm mercury $=133\mathrm{.}3Pa$

Round your answer to one decimal place.

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