Two identical projectiles are launched from level horizontal ground with identical initial launch speeds \(v_0\) but at complementary launch angles \(\theta\) and \(90^\circ - \theta\), where \(0 < \theta < 45^\circ\). Both projectiles experience negligible air resistance and travel the same horizontal range \(R\) before returning to the ground. If \(H_1\) is the maximum vertical height attained by the projectile launched at angle \(\theta\) and \(H_2\) is the maximum vertical height attained by the projectile launched at angle \(90^\circ - \theta\), what is the ratio \(\dfrac{H_2}{H_1}\)?