Solve 8*9.8*sin20^circ/29

$$\frac { 8 \times 9.8 \times \sin 20 ^ { \circ } } { 29 }$$

Evaluate

$$\frac{167589870229577663}{181250000000000000}\approx 0.924633767$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{8 \cdot 9.8 \cdot 0.3420201433256687}{29}$$

Multiply 8 and 9.8 to get 78.4.

$$\frac{78.4\times 0.3420201433256687}{29}$$

Multiply 78.4 and 0.3420201433256687 to get 26.81437923673242608.

$$\frac{26.81437923673242608}{29}$$

Expand \frac{26.81437923673242608}{29} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{2681437923673242608}{2900000000000000000}$$

Reduce the fraction \frac{2681437923673242608}{2900000000000000000} to lowest terms by extracting and canceling out 16.

$$\frac{167589870229577663}{181250000000000000}$$

Factor

$$\frac{179 \cdot 25693 \cdot 743676121 \cdot 7 ^ {2}}{29 \cdot 2 ^ {13} \cdot 5 ^ {17}} = 0.9246337667838768$$