A projectile is launched from level ground with an initial speed \( v_0 \) at an angle \( \theta_1 \) above the horizontal and has a horizontal range \( R \) and a maximum height \( H_1 \). A second projectile is launched from the same location with the same initial speed \( v_0 \) at an angle \( \theta_2 \) above the horizontal and has the same horizontal range \( R \) but a maximum height \( H_2 \). If \( \theta_2 > \theta_1 \) and \( H_2 = 3H_1 \), what is the value of \( \theta_1 \)?