Solve 16*sin(37^circ)/2*9.8

$$\frac{ 16 \times \sin ( 37 ^ { \circ } ) }{ 2 \times 9.8 }$$

Evaluate

$$\frac{859735747360069}{1750000000000000}\approx 0.49127757$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{16 \cdot 0.6018150231520483}{2 \cdot 9.8}$$

Cancel out 2 in both numerator and denominator.

$$\frac{0.6018150231520483\times 8}{9.8}$$

Multiply 0.6018150231520483 and 8 to get 4.8145201852163864.

$$\frac{4.8145201852163864}{9.8}$$

Expand \frac{4.8145201852163864}{9.8} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{48145201852163864}{98000000000000000}$$

Reduce the fraction \frac{48145201852163864}{98000000000000000} to lowest terms by extracting and canceling out 56.

$$\frac{859735747360069}{1750000000000000}$$

Factor

$$\frac{53 \cdot 491 \cdot 33037534003}{7 \cdot 2 ^ {13} \cdot 5 ^ {15}} = 0.4912775699200394$$