To date, many works devoted to the influence of grazing angle on the spectral properties of nanostructured metasurfaces have been published. In this case, the dependence of the spectrum on grazing angle was previously considered within the framework of solving filtering problems, for example: Constructing tunable optical filters based on metasurfaces; development of a bandpass filter with characteristics that are minimally dependent on the angle of incidence of light (angular tolerant color filter), etc. We propose to use the described property of nanostructured metasurfaces for solution of an inverse problem-determination of light incidence angle from the change in the metasurface spectral response. It will provide no-contact determination of an inclination angle of an object, on which the metasurface is installed; it is a step towards creating a miniature and accurate angle sensor. We consider the idea of using metasurfaces to measure inclination angles of objects on the basis of dielectric subwavelength gratings using computer simulation. We also analyze the possibility of simultaneous measurement of rotations (inclination angles) along two orthogonal axes using the same nanostructured metasurface.