Solve 8000/sin39^circ=a/1

$$\frac { 8000 } { \sin 39 ^ { \circ } } = \frac { a } { 1 }$$

Solve for a

$$a = \frac{40000000000000000000}{3146601955249187} = 12712\frac{395944872334856}{3146601955249187} \approx 12712.125832526$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{8000}{0.6293203910498374} = \frac{a}{1}$$

Expand \frac{8000}{0.6293203910498374} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{80000000000000000000}{6293203910498374}=\frac{a}{1}$$

Reduce the fraction \frac{80000000000000000000}{6293203910498374} to lowest terms by extracting and canceling out 2.

$$\frac{40000000000000000000}{3146601955249187}=\frac{a}{1}$$

Anything divided by one gives itself.

$$\frac{40000000000000000000}{3146601955249187}=a$$

Swap sides so that all variable terms are on the left hand side.

$$a=\frac{40000000000000000000}{3146601955249187}$$