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,

$a=\frac{1}{2}$

The measure of side opposite to angle 60 degree is,

$\begin{gathered} a\sqrt[]{3}=\frac{1}{2}\sqrt[]{3} \\ =\frac{\sqrt[]{3}}{2} \end{gathered}$

The measure of side x is,

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

The measure of hypotenuse is 2a. So,

$\begin{gathered} y=2a \\ =2\cdot\frac{1}{2} \\ =1 \end{gathered}$

So answers are,

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

and

$y=1$