Solve x/sin58=7/sin29

$$\frac { x } { \sin 58 } = \frac { 7 } { \sin 29 }$$

Solve for x

$$x = \frac{32979648183861015}{2693386779146317} = 12\frac{659006834105212}{2693386779146317} \approx 12.2446759$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{x}{0.8480480961564261} = \frac{7}{0.48480962024633706}$$

Expand \frac{7}{0.48480962024633706} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{x}{0.8480480961564261}=\frac{700000000000000000}{48480962024633706}$$

Reduce the fraction \frac{700000000000000000}{48480962024633706} to lowest terms by extracting and canceling out 2.

$$\frac{x}{0.8480480961564261}=\frac{350000000000000000}{24240481012316853}$$

Multiply both sides by 0.8480480961564261.

$$x=\frac{350000000000000000}{24240481012316853}\times 0.8480480961564261$$

Convert decimal number 0.8480480961564261 to fraction \frac{8480480961564261}{10000000000}. Reduce the fraction \frac{8480480961564261}{10000000000} to lowest terms by extracting and canceling out 1.

$$x=\frac{350000000000000000}{24240481012316853}\times \frac{8480480961564261}{10000000000000000}$$

Multiply \frac{350000000000000000}{24240481012316853} times \frac{8480480961564261}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{350000000000000000\times 8480480961564261}{24240481012316853\times 10000000000000000}$$

Do the multiplications in the fraction \frac{350000000000000000\times 8480480961564261}{24240481012316853\times 10000000000000000}.

$$x=\frac{2968168336547491350000000000000000}{242404810123168530000000000000000}$$

Reduce the fraction \frac{2968168336547491350000000000000000}{242404810123168530000000000000000} to lowest terms by extracting and canceling out 90000000000000000.

$$x=\frac{32979648183861015}{2693386779146317}$$