Solve g/sin87=7.6/sin50

$$\frac { g } { \sin 87 } = \frac { 7.6 } { \sin 50 }$$

Solve for g

$$g = \frac{94869805801684511}{9575555538987225} = 9\frac{8689805950799496}{9575555538987224} \approx 9.907498882$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{g}{0.9986295347545738} = \frac{7.6}{0.766044443118978}$$

Expand \frac{7.6}{0.766044443118978} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{g}{0.9986295347545738}=\frac{7600000000000000}{766044443118978}$$

Reduce the fraction \frac{7600000000000000}{766044443118978} to lowest terms by extracting and canceling out 2.

$$\frac{g}{0.9986295347545738}=\frac{3800000000000000}{383022221559489}$$

Multiply both sides by 0.9986295347545738.

$$g=\frac{3800000000000000}{383022221559489}\times 0.9986295347545738$$

Convert decimal number 0.9986295347545738 to fraction \frac{4993147673772869}{10000000000}. Reduce the fraction \frac{4993147673772869}{10000000000} to lowest terms by extracting and canceling out 1.

$$g=\frac{3800000000000000}{383022221559489}\times \frac{4993147673772869}{5000000000000000}$$

Multiply \frac{3800000000000000}{383022221559489} times \frac{4993147673772869}{5000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$g=\frac{3800000000000000\times 4993147673772869}{383022221559489\times 5000000000000000}$$

Do the multiplications in the fraction \frac{3800000000000000\times 4993147673772869}{383022221559489\times 5000000000000000}.

$$g=\frac{18973961160336902200000000000000}{1915111107797445000000000000000}$$

Reduce the fraction \frac{18973961160336902200000000000000}{1915111107797445000000000000000} to lowest terms by extracting and canceling out 200000000000000.

$$g=\frac{94869805801684511}{9575555538987225}$$