Solve 54*sin137^circ/100.65

$$\frac { 54 \times \sin 137 ^ { \circ } } { 100.65 }$$

Evaluate

$$\frac{12275970481124973}{33550000000000000}\approx 0.365900759$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{54 \cdot 0.6819983600624985}{100.65}$$

Multiply 54 and 0.6819983600624985 to get 36.827911443374919.

$$\frac{36.827911443374919}{100.65}$$

Expand \frac{36.827911443374919}{100.65} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{36827911443374919}{100650000000000000}$$

Reduce the fraction \frac{36827911443374919}{100650000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{12275970481124973}{33550000000000000}$$

Factor

$$\frac{30133 \cdot 307931147 \cdot 3 ^ {3} \cdot 7 ^ {2}}{11 \cdot 61 \cdot 2 ^ {13} \cdot 5 ^ {14}} = 0.36590075949701856$$