Solve (37.2)^2*sin(28.2^circ)/9.80

$$\frac { ( 37.2 ) ^ { 2 } \cdot \sin ( 28.2 ^ { \circ } ) } { 9.80 }$$

Evaluate

$$\frac{2043545782676224023}{30625000000000000}\approx 66.728025557$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(37.2)} ^ {2} \cdot 0.472550764869054}{9.80}$$

Calculate 37.2 to the power of 2 and get 1383.84.

$$\frac{1383.84\times 0.472550764869054}{9.8}$$

Multiply 1383.84 and 0.472550764869054 to get 653.93465045639168736.

$$\frac{653.93465045639168736}{9.8}$$

Expand \frac{653.93465045639168736}{9.8} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{65393465045639168736}{980000000000000000}$$

Reduce the fraction \frac{65393465045639168736}{980000000000000000} to lowest terms by extracting and canceling out 32.

$$\frac{2043545782676224023}{30625000000000000}$$

Factor

$$\frac{26252820270503 \cdot 3 ^ {4} \cdot 31 ^ {2}}{2 ^ {12} \cdot 5 ^ {16} \cdot 7 ^ {2}} = 66\frac{22295782676224000}{30625000000000000} = 66.72802555677467$$