Question

IX Search topics and skills Q Learning Diagnostic Analytics Recommendations Skill plans Math Level KHH.5 Trigonometric ratios: find an angle measure RSS You have prizes to revs TC Find mZX w 3 N N Х V Write your answer as an integer or as a decimal rounded to the nearest tenth. mZX = 1 o Submit 3 its

Answer 1

Step 1

We can find the measure of angle x using the trigonometric ratio Soh or Cah or Toa. This will depend on what we are given and what are required to find. The place where angle x faces is the opposite. We are given;

$\begin{gathered} opposite=2 \\ adjacent=3 \\ Required\text{ = angle x} \end{gathered}$

So for this we will use Toa, written as;

$Tan(x)=\frac{opposite}{adjacent}$

Therefore the answer will be;

$\begin{gathered} Tan(x)=\frac{2}{3} \\ x=tan^{-1}(\frac{2}{3}) \\ x=33.69006753 \\ x\approx33.7^{\circ}\text{ to the nearest tenth} \end{gathered}$

Answer;

$m\angle x=33.7^{\circ}\text{ to the nearest tenth}$