Solve 37.2*sin(24.2^circ)/9.8

$$\frac { 37.2 \times \sin ( 24.2 ^ { \circ } ) } { 9.8 }$$

Evaluate

$$\frac{23826776342041419}{15312500000000000}\approx 1.556034373$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{37.2 \cdot 0.4099230338415728}{9.8}$$

Multiply 37.2 and 0.4099230338415728 to get 15.24913685890650816.

$$\frac{15.24913685890650816}{9.8}$$

Expand \frac{15.24913685890650816}{9.8} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{1524913685890650816}{980000000000000000}$$

Reduce the fraction \frac{1524913685890650816}{980000000000000000} to lowest terms by extracting and canceling out 64.

$$\frac{23826776342041419}{15312500000000000}$$

Factor

$$\frac{3 \cdot 4513 \cdot 8707 \cdot 210323 \cdot 31 ^ {2}}{2 ^ {11} \cdot 5 ^ {16} \cdot 7 ^ {2}} = 1\frac{8514276342041420}{15312500000000000} = 1.556034373357807$$