Question

Susan place logs along the perimeter of a vegetable garden that is in the shape of a 30 60 90 triangle, as shown. the longest side of the garden is 22 m. what is x, the length in meters of the longer leg of the triangle?

Answer 1

$\begin{gathered} \text{then } \\ \sin (60)=\frac{x}{22} \\ 22\cdot\sin (60)=x \\ 22\cdot(\frac{\sqrt[]{3}}{2})=x \\ \frac{22}{2}\cdot\sqrt[]{3}=x \\ 11\sqrt[]{3}=x \\ \\ \text{then } \\ x=11\sqrt[]{3} \end{gathered}$