Question

find the length of side x to the nearest tenth.
answer attempt 1 out of 2
x =

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:

\(1.2\)