How much space would 8 basketballs take up if the diameter was 9
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![\bf tan(3.5^o)=\cfrac{y}{15+x}\implies 15+x=\cfrac{y}{tan(3.5^o)}\\\\\\ \boxed{x=\cfrac{y}{tan(3.5^o)}-15} \\\\\\ tan(9^o)=\cfrac{y}{x}\implies x\cdot tan(9^o)=y\\\\\\ \left[ \cfrac{y}{tan(3.5^o)}-15 \right]tan(9^o)=y \\\\\\ \left[ \cfrac{y-15tan(3.5^o)}{tan(3.5^o)} \right]tan(9^o)=y \\\\\\](https://tex.z-dn.net/?f=%5Cbf%20tan%283.5%5Eo%29%3D%5Ccfrac%7By%7D%7B15%2Bx%7D%5Cimplies%2015%2Bx%3D%5Ccfrac%7By%7D%7Btan%283.5%5Eo%29%7D%5C%5C%5C%5C%5C%5C%20%5Cboxed%7Bx%3D%5Ccfrac%7By%7D%7Btan%283.5%5Eo%29%7D-15%7D%0A%5C%5C%5C%5C%5C%5C%0Atan%289%5Eo%29%3D%5Ccfrac%7By%7D%7Bx%7D%5Cimplies%20x%5Ccdot%20%20tan%289%5Eo%29%3Dy%5C%5C%5C%5C%5C%5C%20%5Cleft%5B%20%5Ccfrac%7By%7D%7Btan%283.5%5Eo%29%7D-15%20%5Cright%5Dtan%289%5Eo%29%3Dy%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%5B%20%5Ccfrac%7By-15tan%283.5%5Eo%29%7D%7Btan%283.5%5Eo%29%7D%20%5Cright%5Dtan%289%5Eo%29%3Dy%0A%5C%5C%5C%5C%5C%5C)
![\bf \cfrac{y\cdot tan(9^o)-15tan(3.5^o)tan(9^o)}{tan(3.5^o)}=y \\\\\\ y\cdot tan(9^o)-15tan(3.5^o)tan(9^o)=y\cdot tan(3.5^o) \\\\\\ ytan(9^o)-ytan(3.5^o)=15tan(3.5^o)tan(9^o) \\\\\\ \stackrel{common~factor}{y}[tan(9^o)-tan(3.5^o)]=15tan(3.5^o)tan(9^o) \\\\\\ y=\cfrac{15tan(3.5^o)tan(9^o)}{tan(9^o)-tan(3.5^o)}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7By%5Ccdot%20%20tan%289%5Eo%29-15tan%283.5%5Eo%29tan%289%5Eo%29%7D%7Btan%283.5%5Eo%29%7D%3Dy%0A%5C%5C%5C%5C%5C%5C%0Ay%5Ccdot%20%20tan%289%5Eo%29-15tan%283.5%5Eo%29tan%289%5Eo%29%3Dy%5Ccdot%20tan%283.5%5Eo%29%0A%5C%5C%5C%5C%5C%5C%0Aytan%289%5Eo%29-ytan%283.5%5Eo%29%3D15tan%283.5%5Eo%29tan%289%5Eo%29%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bcommon~factor%7D%7By%7D%5Btan%289%5Eo%29-tan%283.5%5Eo%29%5D%3D15tan%283.5%5Eo%29tan%289%5Eo%29%0A%5C%5C%5C%5C%5C%5C%0Ay%3D%5Ccfrac%7B15tan%283.5%5Eo%29tan%289%5Eo%29%7D%7Btan%289%5Eo%29-tan%283.5%5Eo%29%7D)
make sure your calculator is in Degree mode.
the amount is small, but bear in mind that is mile units.
make sure your calculator is in Degree mode.
the amount is small, but bear in mind that is mile units.