In the design of a supermarket, there are to be several ramps connecting different parts of the store. Customers will have to push grocery carts up the ramps and it is obviously desirable that this not be too difficult. The engineer has done a survey and found that almost no one complains if the force directed up the ramp is no more than 20N .

Ignoring friction, at what maximum angle θ should the ramps be built, assuming a full 30kg grocery cart?

Express your answer using two significant figures.