Answer:
[tex]a=-\dfrac{3+9\sqrt{3}}{52}\approx −0.357470332079[/tex]
Step-by-step explanation:
Here, we assume that point A is (-1, 0) and point B is (z, 2). Since angle BAD is 60°, we have ...
2/(z+1) = tan(60°) = √3
z = (2/√3) -1
Putting the value of z into the equation for the parabola lets us find "a".
2 = a(z +1)(z -5) = a(2/√3)(2/√3 -6)
Then ...
a = 2/(4/3 -12/√3) = (6√3)/(4√3 -36)
a = -(3+9√3)/52 ≈ −0.357470332079
