Question

30°-60°-90° YOU TRY! Solve for x and y: 30° 60° у 1 av3 2 2a 30° X You got this! 60 a YOU TRY: X= y =

Answer 1

The side opposite to 30 degree angle is 1/2. So,

`a=(1)/(2)`

The measure of side opposite to angle 60 degree is,

`\begin{gathered} a\sqrt[]{3}=(1)/(2)\sqrt[]{3} \\ =\frac{\sqrt[]{3}}{2} \end{gathered}`

The measure of side x is,

`\frac{\sqrt[]{3}}{2}`

The measure of hypotenuse is 2a. So,

`\begin{gathered} y=2a \\ =2\cdot(1)/(2) \\ =1 \end{gathered}`

So answers are,

`x=\frac{\sqrt[]{3}}{2}`

and

`y=1`