Awnser: $13 each ticket
Explaination:
In total he spend $87 which means you have to subtract $22 which equals $65 and you divide that by 5 because of his four friends and himself. Which ends up being $13
The 10^-4 means that the decimal point is 4 places to the left of where it is in 8.25 (if the exponent was positive the decimal point would be to the right). If you move the decimal point 4 places to the left you get an answer of 0.000825 which is 8.25 * 10^-4 in standard form.
2/5 is the answer so the reciprocal would be 5/2
So hmm notice the picture below
thus
![\bf \cfrac{y}{tan(64^o)}=\cfrac{y}{tan(46^o)}-100\implies \cfrac{y}{tan(64^o)}-\cfrac{y}{tan(46^o)}=-100 \\\\\\ y\left[ \cfrac{1}{tan(64^o)}-\cfrac{1}{tan(46^o)} \right]=-100\implies y=\cfrac{-100}{\frac{1}{tan(64^o)}-\frac{1}{tan(46^o)}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7By%7D%7Btan%2864%5Eo%29%7D%3D%5Ccfrac%7By%7D%7Btan%2846%5Eo%29%7D-100%5Cimplies%20%0A%5Ccfrac%7By%7D%7Btan%2864%5Eo%29%7D-%5Ccfrac%7By%7D%7Btan%2846%5Eo%29%7D%3D-100%0A%5C%5C%5C%5C%5C%5C%0Ay%5Cleft%5B%20%5Ccfrac%7B1%7D%7Btan%2864%5Eo%29%7D-%5Ccfrac%7B1%7D%7Btan%2846%5Eo%29%7D%20%5Cright%5D%3D-100%5Cimplies%20y%3D%5Ccfrac%7B-100%7D%7B%5Cfrac%7B1%7D%7Btan%2864%5Eo%29%7D-%5Cfrac%7B1%7D%7Btan%2846%5Eo%29%7D%7D)
make sure your calculator is in Degree mode, since the angles are in degrees