Question

Analyze the diagram below and complete the instructions that follow. 60° 4 Y 30° Find the value of x and the value of y. A x=2-53, y = 8 B. X= 2 y = 4 56 C. x= 2√2.y=250 D. x=2-13. y = 655

Answer 1

`\begin{gathered} \text{From the figure} \\ \text{hypotenuse}=4\sqrt[]{2} \\ \text{opposite to angle 60=y} \\ \text{adjacent to angle 60 = x} \\ \\ \cos \text{ 60 = }\frac{\text{adjacent}}{\text{Hypotenuse}} \\ \cos \text{ 60=}\frac{x}{4\sqrt[]{2}} \\ \\ x=4\sqrt[]{2}\text{ cos 60} \\ x=4\sqrt[]{2}\text{ x }(1)/(2) \\ x=2\sqrt[]{2} \end{gathered}`
`\begin{gathered} \sin \text{ 60=}\frac{opposite}{\text{hypotenuse}} \\ \\ \sin \text{ 60= }\frac{y}{4\sqrt[]{2}} \\ \\ y=4\sqrt[]{2}\text{ x sin60} \\ y=4\sqrt[]{2}\text{ x}\frac{\sqrt[]{3}}{2} \\ \\ y=2\sqrt[]{6} \end{gathered}`

The correct option is option C