Solve sin5^circ=frac{sqrt{3}}{2}b

$$\sin 5 ^ { \circ } = \frac { \sqrt { 3 } } { 2 } b$$

Solve for b

$$b=\frac{2905191424921939\sqrt{3}}{50000000000000000}\approx 0.100638783$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.08715574274765817 = \frac{\sqrt{3}}{2} b$$

Multiply both sides of the equation by 2.

$$0.17431148549531634=\sqrt{3}b$$

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

$$\sqrt{3}b=0.17431148549531634$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}b}{\sqrt{3}}=\frac{0.17431148549531634}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$b=\frac{0.17431148549531634}{\sqrt{3}}$$

Divide 0.17431148549531634 by \sqrt{3}.

$$b=\frac{2905191424921939\sqrt{3}}{50000000000000000}$$