The fuel tank on a car is d = 0.35 m tall. The fuel level in the tank is detected by a L = 0.66 m arm that is free to rotate about a pivot at an upper fuel tank corner. Its sensor end floats at the surface of the fuel as indicated in the diagram
(a) Derive an expression for the sensor height, h, above the horizontal tank bottom as a function of L, d and θ (the angle between the arm and the vertical tank wall).
(b) Use logic to deduce the angle, θfull in degrees, associated with a full fuel tank, without performing any calculations.
(c) Calculate the angle θ.
