Solve f/47=3/sin11

$$\frac { f } { 47 } = \frac { 3 } { \sin 11 }$$

Solve for f

$$f = \frac{176250000000000000}{238511244220681} = 738\frac{228701765137422}{238511244220681} \approx 738.958872048$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{f}{47} = \frac{3}{0.1908089953765448}$$

Multiply both sides of the equation by 47.

$$f=47\times \frac{3}{0.1908089953765448}$$

Expand \frac{3}{0.1908089953765448} by multiplying both numerator and the denominator by 10000000000000000.

$$f=47\times \frac{30000000000000000}{1908089953765448}$$

Reduce the fraction \frac{30000000000000000}{1908089953765448} to lowest terms by extracting and canceling out 8.

$$f=47\times \frac{3750000000000000}{238511244220681}$$

Express 47\times \frac{3750000000000000}{238511244220681} as a single fraction.

$$f=\frac{47\times 3750000000000000}{238511244220681}$$

Multiply 47 and 3750000000000000 to get 176250000000000000.

$$f=\frac{176250000000000000}{238511244220681}$$