Why might taking the right turn be dangerous here?

Your answer is fully correct. Here's why:

1. You might not be able to stop in time if pedestrians are crossing the side street, especially on icy or snowy road conditions. Pedestrians can suddenly appear, and slippery roads increase stopping distances.

2. Vehicles emerging from the side street could also start to skid due to the slippery surface. This loss of control can make their movement unpredictable and dangerous for you when turning.

3. Your own vehicle might start to skid if you take the right turn too fast because of the low friction on icy or snowy roads. This reduces your control over the car and increases the risk of an accident.

In summary, in winter conditions like those shown, extra caution is needed when turning because both your vehicle and others can lose traction easily, creating several safety risks. Maintaining a slow speed and being ready to stop is essential.