Answer:
c=578
Step-by-step explanation:
To solve this we can use the law of sines.
Firstly, we need to find the measure of ∠C
As there are 180° in a triangle, we can find the difference between this and the measures of ∠A and ∠B
[tex]180-70-52=58[/tex]
∠C=58°
Now we can setup our law of sines
[tex]\frac{c}{sin(58)} =\frac{640}{sin(70)} \\\\c=\frac{640sin(58)}{sin(70)} \\\\c=577.58\\\\c=578[/tex]
