find the length of side x to the nearest tenth.\nanswer attempt 1 out of 2\nx =

Explanation:

Step1: Use cosine function

In a right - triangle, (\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}). Here (\theta = 30^{\circ}), adjacent side (=1), and hypotenuse (=x). So (\cos30^{\circ}=\frac{1}{x}).

Step2: Solve for (x)

Since (\cos30^{\circ}=\frac{\sqrt{3}}{2}\approx0.866), then (x = \frac{1}{\cos30^{\circ}}). Substitute (\cos30^{\circ}\approx0.866) into the formula, (x=\frac{1}{0.866}\approx1.2).

Answer:

(1.2)