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We present results of horizontal EAS simulations focused on the opportunityof measuring Cherenkov light from air showers at stratospheric balloon altitude(eg. EUSO-SPB2). For a 1 m2 UV light detector at a 38 km altitude, the largesthorizontal distance to the edge of the Earth atmosphere is about 1000 km whichrepresents a depth of 10000 g/cm2 of atmosphere. The Cherenkov light producedby the EAS electron component would be scattered in atmosphere on its way tothe detector, and would not contribute to detected light. The most promisingscenario relies on the detection of light emitted within about 300 km from thedetector by EAS muons with energies above 100 GeV (required to produceCherenkov light at high altitudes and for muons to survive over a largedistance). Within this scenario we might expect to measure Cherenkov light fromproton induced EAS of energy between 1e17 and 1e18 eV, the lower limit beingrelated to the strength of a signal, and upper limit being due to the productof geometrical factor by the CR flux.

Cherenkov light from Horizontal Air Shower