Solve a/sin95=15/sin125

$$\frac { a } { \sin 95 } = \frac { 15 } { \sin 125 }$$

Solve for a

$$a = \frac{9961946980917455}{546101362859328} = 18\frac{132122449449552}{546101362859328} \approx 18.241937593$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{a}{0.9961946980917455} = \frac{15}{0.819152044288992}$$

Expand \frac{15}{0.819152044288992} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{a}{0.9961946980917455}=\frac{15000000000000000}{819152044288992}$$

Reduce the fraction \frac{15000000000000000}{819152044288992} to lowest terms by extracting and canceling out 96.

$$\frac{a}{0.9961946980917455}=\frac{156250000000000}{8532833794677}$$

Multiply both sides by 0.9961946980917455.

$$a=\frac{156250000000000}{8532833794677}\times 0.9961946980917455$$

Convert decimal number 0.9961946980917455 to fraction \frac{1992389396183491}{10000000000}. Reduce the fraction \frac{1992389396183491}{10000000000} to lowest terms by extracting and canceling out 1.

$$a=\frac{156250000000000}{8532833794677}\times \frac{1992389396183491}{2000000000000000}$$

Multiply \frac{156250000000000}{8532833794677} times \frac{1992389396183491}{2000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{156250000000000\times 1992389396183491}{8532833794677\times 2000000000000000}$$

Do the multiplications in the fraction \frac{156250000000000\times 1992389396183491}{8532833794677\times 2000000000000000}.

$$a=\frac{311310843153670468750000000000}{17065667589354000000000000000}$$

Reduce the fraction \frac{311310843153670468750000000000}{17065667589354000000000000000} to lowest terms by extracting and canceling out 31250000000000.

$$a=\frac{9961946980917455}{546101362859328}$$