Solve cos40^circ=11/y

$$\cos 40 ^ { \circ } = \frac { 11 } { y }$$

Solve for y

$$y = \frac{5500000000000000}{383022221559489} = 14\frac{137688898167154}{383022221559489} \approx 14.359480183$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.766044443118978 = \frac{11}{y}$$

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

$$0.766044443118978y=11$$

Divide both sides by 0.766044443118978.

$$y=\frac{11}{0.766044443118978}$$

Expand \frac{11}{0.766044443118978} by multiplying both numerator and the denominator by 1000000000000000.

$$y=\frac{11000000000000000}{766044443118978}$$

Reduce the fraction \frac{11000000000000000}{766044443118978} to lowest terms by extracting and canceling out 2.

$$y=\frac{5500000000000000}{383022221559489}$$