The fuel tank on a car has a depth d = 0.392 m. The fuel level in the tank is detected bya sensor at the end of an arm with length L = 0.653 m. The arm is free to rotate about a pivot at an upper0.653 mcorner of the fuel tank. The angle between the arm and the vertical is 0, as indicated in the drawing.Solve C and D

' ' infer ; E c? 25% Part (a) Derive an expression for the sensor height= h= above the horizontal tank bottom as a mctioh-ofL, dand ; l h = d - L cos(6) J Correct! : l " V E q? 25% Part (b) Use logic to deduce the value: in degrees, of the angle 0 when the fuel tank is full No computation is required. '1 ' 9mm =90.00 J Correct! - i a $3 25% Part (c) Calculate the angle= in degrees: associated with a half-full fuel tank. I shalt = 45.00 Feedback: is available. 9m = 45.00 " X Attempts Remain ' [3 $2 25% Part ((1) Note that the arm is longer than the tank is deep: L :2 d. What angle; in degrees, is associated with an empty fuel tank? gammy = l _ , \"A, j U