What does the variables represent?
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
Answer:
B. 0.635
Step-by-step explanation:
Having a percent means its out of 100 so we can turn the percent into a fraction. 63.5/100
We cant have a decimal in our fraction, so we can multiply by 10 to get rid of it. (63.5*10)/(100*10)=635/1000
Since the denominator is a multiply of 10, we can convert the numerator into a decimal. .635
So your answer would be B. 0.635