Question

Solve for x y and z.

Answer 1

let us find z

`\begin{gathered} \cos 30=\frac{adjacent}{\text{hypotenuse}} \\ \cos 30=(z)/(24) \\ z=24\cos 30 \\ z=20.7846096908 \\ z=20.8 \end{gathered}`

let us find x.

`\begin{gathered} \sin 30=\frac{\text{opposite}}{\text{hypotenuse}} \\ \sin 30=\frac{\text{height}}{24} \\ height=24\sin 30 \\ \text{height}=12 \\ \\ \cos 45=\frac{adjacent}{\text{hypotenuse}} \\ \cos 45=(12)/(x) \\ x=(12)/(\cos 45) \\ x=(12)/(0.70710678118) \\ x=16.9705627485 \\ x=17.0 \end{gathered}`

let us find y

`\begin{gathered} \tan 45=\frac{opposite}{\text{adjacent}} \\ \tan 45=(y)/(12) \\ y=12\tan 45 \\ y=12.0 \end{gathered}`