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\frac{0.788010753606722}{45} = \frac{0.8829475928589271}{a}
Evaluate trigonometric functions in the problem
a\times 0.788010753606722=45\times 0.8829475928589271
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 45a, the least common multiple of 45,a.
a\times 0.788010753606722=39.7326416786517195
Multiply 45 and 0.8829475928589271 to get 39.7326416786517195.
a=\frac{39.7326416786517195}{0.788010753606722}
Divide both sides by 0.788010753606722.
a=\frac{397326416786517195}{7880107536067220}
Expand \frac{39.7326416786517195}{0.788010753606722} by multiplying both numerator and the denominator by 10000000000000000.
a=\frac{79465283357303439}{1576021507213444}
Reduce the fraction \frac{397326416786517195}{7880107536067220} to lowest terms by extracting and canceling out 5.