Solve tan28^circ=1.0/w

$$\tan 28 ^ { \circ } = \frac { 1.0 } { w }$$

Solve for w

$$w = \frac{2500000000000000}{1329273579153697} = 1\frac{1170726420846303}{1329273579153697} \approx 1.880726465$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.5317094316614788 = \frac{1.0}{w}$$

Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by w.

$$0.5317094316614788w=1$$

Divide both sides by 0.5317094316614788.

$$w=\frac{1}{0.5317094316614788}$$

Expand \frac{1}{0.5317094316614788} by multiplying both numerator and the denominator by 10000000000000000.

$$w=\frac{10000000000000000}{5317094316614788}$$

Reduce the fraction \frac{10000000000000000}{5317094316614788} to lowest terms by extracting and canceling out 4.

$$w=\frac{2500000000000000}{1329273579153697}$$