Solve sin62^circ/4.8=a/3.6

$$\frac { \sin 62 ^ { \circ } } { 4.8 } = \frac { a } { 3.6 }$$

Solve for a

$$a=0.662210694644195175$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{0.8829475928589269}{4.8} = \frac{a}{3.6}$$

Expand \frac{0.8829475928589269}{4.8} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{8829475928589269}{48000000000000000}=\frac{a}{3.6}$$

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

$$\frac{a}{3.6}=\frac{8829475928589269}{48000000000000000}$$

Multiply both sides by 3.6.

$$a=\frac{8829475928589269}{48000000000000000}\times 3.6$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$a=\frac{8829475928589269}{48000000000000000}\times \frac{18}{5}$$

Multiply \frac{8829475928589269}{48000000000000000} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{8829475928589269\times 18}{48000000000000000\times 5}$$

Do the multiplications in the fraction \frac{8829475928589269\times 18}{48000000000000000\times 5}.

$$a=\frac{158930566714606842}{240000000000000000}$$

Reduce the fraction \frac{158930566714606842}{240000000000000000} to lowest terms by extracting and canceling out 6.

$$a=\frac{26488427785767807}{40000000000000000}$$