Solve q/sin62=7/sin33

$$\frac { q } { \sin 62 } = \frac { 7 } { \sin 33 }$$

Solve for q

$$q = \frac{61806331500124883}{5446390350150271} = 11\frac{1896037648471899}{5446390350150271} \approx 11.348127388$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{q}{0.8829475928589269} = \frac{7}{0.5446390350150271}$$

Expand \frac{7}{0.5446390350150271} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{q}{0.8829475928589269}=\frac{70000000000000000}{5446390350150271}$$

Multiply both sides by 0.8829475928589269.

$$q=\frac{70000000000000000}{5446390350150271}\times 0.8829475928589269$$

Convert decimal number 0.8829475928589269 to fraction \frac{8829475928589269}{10000000000}. Reduce the fraction \frac{8829475928589269}{10000000000} to lowest terms by extracting and canceling out 1.

$$q=\frac{70000000000000000}{5446390350150271}\times \frac{8829475928589269}{10000000000000000}$$

Multiply \frac{70000000000000000}{5446390350150271} times \frac{8829475928589269}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$q=\frac{70000000000000000\times 8829475928589269}{5446390350150271\times 10000000000000000}$$

Do the multiplications in the fraction \frac{70000000000000000\times 8829475928589269}{5446390350150271\times 10000000000000000}.

$$q=\frac{618063315001248830000000000000000}{54463903501502710000000000000000}$$

Reduce the fraction \frac{618063315001248830000000000000000}{54463903501502710000000000000000} to lowest terms by extracting and canceling out 10000000000000000.

$$q=\frac{61806331500124883}{5446390350150271}$$