If the triangle is equilateral then the length of its sides must be the same. So, each side's length is 6 yards.
Similarly it would have three angles of the same measure, then each angle must be: 180°/3 = 60° as the sum of the three angles of a triangle must be equal to 180°.If the angles are equal each angle would measure one third of 180°.
The formula in this case would be:
[tex]h=\frac{\sqrt[]{3}}{2}a\text{ (a represents the length of one side)}[/tex]
Replacing the value of a, we have:
[tex]\begin{gathered} h=\frac{\sqrt[]{3}}{2}\cdot(6)\text{ yards} \\ h=5.196 \\ \text{The answer is 5.2 rounding to the tenth of a yard. } \end{gathered}[/tex]
