23. A skier moves across a rolling snowy landscape from south to north. Arriving with a downward slope of 10° at a certain spot, this skier stops for a while to enjoy the beautiful landscape and reorients the skis there until these are exactly horizontal in order not to lose balance. The skis are now pointing north-west. In what direction should the skier depart from this spot to go down the steepest? And at what angle (approximately) will this descend take place? Assume that the height of the snowy landscape corresponding to a certain location can be described as a function with continuous partial derivatives.

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