Solve 30*sin(113)/sin(27)

$$\frac{ 30 \times \sin ( 113 ) }{ \sin ( 27 ) }$$

Evaluate

$$\frac{110460582414292848}{1815961998958187}\approx 60.827584761$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{30 \cdot 0.9205048534524404}{0.45399049973954675}$$

Multiply 30 and 0.9205048534524404 to get 27.615145603573212.

$$\frac{27.615145603573212}{0.45399049973954675}$$

Expand \frac{27.615145603573212}{0.45399049973954675} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{2761514560357321200}{45399049973954675}$$

Reduce the fraction \frac{2761514560357321200}{45399049973954675} to lowest terms by extracting and canceling out 25.

$$\frac{110460582414292848}{1815961998958187}$$

Factor

$$\frac{3 \cdot 149 \cdot 15444712306249 \cdot 2 ^ {4}}{1815961998958187} = 60\frac{1502862476801628}{1815961998958187} = 60.82758476094974$$