Question

Using trig to find sides

Answer 1

Step 1: Problem

Find the measure of

Step 2: Concept

Use trigonometry ratio to find the value of angle x.

Step 3: Method

Given data

Opposite = 3.2 side facing given angle

Adjacent = 5

`\begin{gathered} U\sin g\text{ tagent formula} \\ \tan \theta\text{ = }\frac{Opposite}{\text{Adjacent}} \\ \tan x\text{ = }(3.2)/(5) \\ \tan x\text{ = 0.64} \\ x\text{ = }\tan ^(-1)\text{ 0.64} \\ x\text{ = 32.6} \end{gathered}`

Step 4: Final answer