sin(30)/sin(45)=0.0010003085/(299792458/x*1068) Solve for x
You asked:
Solve the equation \[\frac{\sin\left( 30 \right)}{\sin\left( 45 \right)} = \frac{0.0010003085}{\frac{299792458}{x} \cdot 1068}\] for the unknown \(x\).
MathBot Answer:
The solution is: \[x = \frac{640356690288000000000 \sin{\left(30 \right)}}{2000617 \sin{\left(45 \right)}} \approx -3.7166231 \cdot 10^{14}\]
\[\begin{aligned}\frac{\sin{\left(30 \right)}}{\sin{\left(45 \right)}} &= \frac{2000617}{640356690288000000000} x\\- \frac{2000617}{640356690288000000000} x &= - \frac{\sin{\left(30 \right)}}{\sin{\left(45 \right)}}\\x &= \frac{640356690288000000000 \sin{\left(30 \right)}}{2000617 \sin{\left(45 \right)}}\end{aligned}\]