Question

Use Special Right Triangles to solve for the value of y. Leave your answer in SIMPLIFIED radical form.

Answer 1

We can use the sine function and tangent function in order to solve for x and y:

`\begin{gathered} sin(\theta)=(opposite)/(hypotenuse) \\ sin(60)=(15)/(x) \\ x=(15)/(sin(60)) \\ x=10√(3) \end{gathered}`
`\begin{gathered} tan(\theta)=(opposite)/(adjacent) \\ tan(60)=(15)/(y) \\ y=(15)/(tan(60)) \\ y=5√(3) \end{gathered}`