9514 1404 393
Answer:
27.932 in
Step-by-step explanation:
The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:
y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees
The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.
y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.
The valve cap is 27.932 in. above the ground.
