Solve 21.78sin50/9.8

$$\frac { 21.78 \sin 50 } { 9.8 }$$

Evaluate

$$\frac{417111199278283521}{245000000000000000}\approx 1.702494691$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{21.78 \cdot 0.766044443118978}{9.8}$$

Multiply 21.78 and 0.766044443118978 to get 16.68444797113134084.

$$\frac{16.68444797113134084}{9.8}$$

Expand \frac{16.68444797113134084}{9.8} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{1668444797113134084}{980000000000000000}$$

Reduce the fraction \frac{1668444797113134084}{980000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{417111199278283521}{245000000000000000}$$

Factor

$$\frac{4728669401969 \cdot 3 ^ {6} \cdot 11 ^ {2}}{2 ^ {15} \cdot 5 ^ {16} \cdot 7 ^ {2}} = 1\frac{1.721111992782835 \times 10^{17}}{2.45 \times 10^{17}} = 1.7024946909317695$$