Equilateral triangle are also equiangular which means all angles are 60 degrees. thus our needed altitude is the leg of a right triangle with other leg 4 and hypotenuse 8. 4² +a² = 8²
a² = 48
a=√48 = 4√3
Answer:

Step-by-step explanation:
Remember the rule for converting radicals and exponents into fractions. The power is the numerator of the fraction, and the nth root is the denominator of the fraction. Also, remember that dividing by an exponent means the exponent will be negative.
![\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%5E%7B8%7D%20%7D%20%7D%7B%5Csqrt%5B6%5D%7By%5E%7B5%7D%20%7D%20%7D%20%5C%5C%5C%5C%5Cfrac%7Bx%5E%7B%5Cfrac%7B8%7D%7B3%7D%20%7D%20%7D%7By%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D%20%7D%20%5C%5C%5C%5Cx%5E%7B%5Cfrac%7B8%7D%7B3%7D%7Dy%5E%7B-%5Cfrac%7B5%7D%7B6%7D)
Y=.5x+6
I believe this is right sorry if it’s not.