Solve tan26^circ=16/c

$$\tan 26 ^ { \circ } = \frac { 16 } { c }$$

Solve for c

$$c = \frac{50000000000000000}{1524164339268317} = 32\frac{1226741143413856}{1524164339268317} \approx 32.804861465$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.48773258856586144 = \frac{16}{c}$$

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

$$0.48773258856586144c=16$$

Divide both sides by 0.48773258856586144.

$$c=\frac{16}{0.48773258856586144}$$

Expand \frac{16}{0.48773258856586144} by multiplying both numerator and the denominator by 100000000000000000.

$$c=\frac{1600000000000000000}{48773258856586144}$$

Reduce the fraction \frac{1600000000000000000}{48773258856586144} to lowest terms by extracting and canceling out 32.

$$c=\frac{50000000000000000}{1524164339268317}$$