Solve 12.7/2*sin(7.8^circ)

$$\frac{ 12.7 }{ 2 \times \sin ( 7.8 ^ { \circ } ) }$$

Evaluate

$$\frac{317500000000000000}{6785778621715219}\approx 46.789030073$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{12.7}{2 \cdot 0.13571557243430438}$$

Multiply 2 and 0.13571557243430438 to get 0.27143114486860876.

$$\frac{12.7}{0.27143114486860876}$$

Expand \frac{12.7}{0.27143114486860876} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{1270000000000000000}{27143114486860876}$$

Reduce the fraction \frac{1270000000000000000}{27143114486860876} to lowest terms by extracting and canceling out 4.

$$\frac{317500000000000000}{6785778621715219}$$

Factor

$$\frac{127 \cdot 2 ^ {14} \cdot 5 ^ {16}}{7 \cdot 23 \cdot 1374787 \cdot 30657617} = 46\frac{5354183401099926}{6785778621715219} = 46.789030072977326$$