Question

Hi I need question 4 solved for homework using SOA CAH TOA

Answer 1

`x=23.8`

Explanation:

Trigonometric ratios are represented by the following equations:

`\begin{gathered} sin(angle)=(opposite)/(hypotenuse) \\ cos(angle)=(adjacent)/(hypotenuse) \\ tan(angle)=(opposite)/(adjacent) \end{gathered}`

Then, to solve for x use the sin relationships since it is given the angle and the hypotenuse of the right triangle, solve for the opposite side:

`\begin{gathered} sin(48)=(x)/(32) \\ x=32*sin(48) \\ x=23.8\text{ } \end{gathered}`