Solve 29.4*sin10^circ/83.919

$$\frac { 29.4 \cdot \sin 10 ^ { \circ } } { 83.919 }$$

Evaluate

$$\frac{850876070567958617}{13986500000000000000}\approx 0.060835525$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{29.4 \cdot 0.17364817766693033}{83.919}$$

Multiply 29.4 and 0.17364817766693033 to get 5.105256423407751702.

$$\frac{5.105256423407751702}{83.919}$$

Expand \frac{5.105256423407751702}{83.919} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{5105256423407751702}{83919000000000000000}$$

Reduce the fraction \frac{5105256423407751702}{83919000000000000000} to lowest terms by extracting and canceling out 6.

$$\frac{850876070567958617}{13986500000000000000}$$

Factor

$$\frac{13 \cdot 59 \cdot 241 \cdot 13420224577 \cdot 7 ^ {3}}{11 \cdot 2543 \cdot 2 ^ {14} \cdot 5 ^ {15}} = 0.06083552501111491$$