Solve x=2r*sin(15)

$$x = 2 r \cdot \sin ( 15 )$$

Solve for r

$$r=\frac{25000000000000000x}{12940952255126037}$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$x = 2 r \cdot 0.25881904510252074$$

Multiply 2 and 0.25881904510252074 to get 0.51763809020504148.

$$x=0.51763809020504148r$$

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

$$0.51763809020504148r=x$$

Divide both sides of the equation by 0.51763809020504148, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.51763809020504148r}{0.51763809020504148}=\frac{x}{0.51763809020504148}$$

Dividing by 0.51763809020504148 undoes the multiplication by 0.51763809020504148.

$$r=\frac{x}{0.51763809020504148}$$

Divide x by 0.51763809020504148 by multiplying x by the reciprocal of 0.51763809020504148.

$$r=\frac{25000000000000000x}{12940952255126037}$$

Solve for x

$$x=\frac{12940952255126037r}{25000000000000000}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$x = 2 r \cdot 0.25881904510252074$$

Multiply 2 and 0.25881904510252074 to get 0.51763809020504148.

$$x=0.51763809020504148r$$