Solve sin54^circ=34/A

$$\sin 54 ^ { \circ } = \frac { 34 } { A }$$

Solve for A

$$A = \frac{13600000000000000}{323606797749979} = 42\frac{8514494500882}{323606797749979} \approx 42.026311235$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.8090169943749475 = \frac{34}{A}$$

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A.

$$0.8090169943749475A=34$$

Divide both sides by 0.8090169943749475.

$$A=\frac{34}{0.8090169943749475}$$

Expand \frac{34}{0.8090169943749475} by multiplying both numerator and the denominator by 10000000000000000.

$$A=\frac{340000000000000000}{8090169943749475}$$

Reduce the fraction \frac{340000000000000000}{8090169943749475} to lowest terms by extracting and canceling out 25.

$$A=\frac{13600000000000000}{323606797749979}$$