Final answer:
The ideal banking angle for the given turn is approximately 11.3°.
Step-by-step explanation:
The ideal banking angle for a gentle turn on a highway can be calculated using the formula:
tan(θ) = (v^2) / (g * r)
where θ is the banking angle, v is the velocity of the vehicle, g is the acceleration due to gravity, and r is the radius of the turn.
Plugging in the given values, we have:
tan(θ) = (105 km/h)^2 / (9.8 m/s^2 * 1.20 km)
Simplifying, we get tan(θ) = 11.3
Taking the inverse tangent, we find that the ideal banking angle is approximately 11.3°