Solve cos(37^circ)=32/N

$$\cos ( 37 ^ { \circ } ) = \frac { 32 } { N }$$

Solve for N

$$N = \frac{10000000000000000}{249573596889779} = 40\frac{17056124408840}{249573596889779} \approx 40.068341061$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.7986355100472928 = \frac{32}{N}$$

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

$$0.7986355100472928N=32$$

Divide both sides by 0.7986355100472928.

$$N=\frac{32}{0.7986355100472928}$$

Expand \frac{32}{0.7986355100472928} by multiplying both numerator and the denominator by 10000000000000000.

$$N=\frac{320000000000000000}{7986355100472928}$$

Reduce the fraction \frac{320000000000000000}{7986355100472928} to lowest terms by extracting and canceling out 32.

$$N=\frac{10000000000000000}{249573596889779}$$