Height: 1.9cm (0.75in)
Adidas 350 are a training sneaker that were first released in the 1980's in Japan. Quite similar in many ways to the Adidas Gazelle, this casual sneaker has an insole that sits slightly lower than the Gazelle's.
In terms of thickness, I measured the 350's at JD Sports, and they give around 1.9cm when new, which is 0.75 inches of height.
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Sneaker Heights are estimates.
Measurements are either taken with a stadiometer (barefoot, then in shoes) or using CelebHeights custom-made Shoe Gauge.