Question

solve for the side
set up an equation, then solve for x. be accurate to within one decimal.

Explanation:

Step1: Use cosine function

$\cos(31^{\circ})=\frac{27}{x}$

Step2: Rearrange for x

$x = \frac{27}{\cos(31^{\circ})}$

Step3: Calculate value

$x=\frac{27}{0.857167}\approx17.3$

Answer:

17.3