A fluid level (26) is measured through determining an inclination angle of a bracket (32) that rotatably connects a floating member (34) located near a surface of the fluid to a pivoting arrangement (28, 30) which carries a resistor (40) of which a first part is branched off through a slider (42) moving along with a change in the angle. In particular, the following steps are executed. First, connecting a stabilized power supply (U0) with its first terminal in series with a limiting resistor (RV) to one end of the resistor (40); second, measuring the voltages over both the first part (UF) and over a remainder part (UE) of the resistor. Finally, calculating the resistance value of the first part (RX) through eliminating a contact resistance value (RU, 46) associated with the slider from the measurement equations given by the values of the respective voltages (UF, UE).