Text problem $1-15($except decrease by $2\mathrm{.}0$ percent compared with the weight at sea level$)$: At $45$ latitude,

the gravitational acceleration as a function of elevation z above sea level is given by g $=$ a $$ bz$,$ where a $=$

$9\mathrm{.}807$ m$/$s$2$ and b $=3\mathrm{.}32$ x $10-6$ s$-2.$ Determine the height above sea level where the weight of an object will

decrease by $2\mathrm{.}0$ percent