Final answer:
To determine the angle of a ramp, we calculate the sine of the angle based on the ramp's height and length. The correct choice is option A), which states that the angle of the ramp is 1/3, representing the sine of the angle, not the angle in degrees.
Step-by-step explanation:
The question involves calculating the angle of a ramp in relation to its height and length. To find the angle, we should think of a right triangle where the height is one side (the opposite side of the angle), the length of the ramp is the hypotenuse, and the bottom of the ramp is the adjacent side to the angle. Using trigonometry, the sine (sin) of the angle is equal to the height divided by the length of the ramp (sin(angle) = opposite/hypotenuse). Therefore, sin(angle) = 1m / 3m = 1/3.
If we use a calculator to find the angle whose sine is 1/3, we get a value in radians. To convert this to degrees, we would use a calculator set to degree mode or a conversion factor, but we do not need to find the exact angle degree for the given options. Looking at the options available (A, B, C, D), only one of them correctly represents a relationship between the height and length of the ramp. Since the sine of the angle is 1/3, a representation of the angle itself should be based on the same ratio.
Thus, option A): The angle of the ramp is 1/3 is the correct choice. This does not mean the angle is 'one-third of a degree' but instead indicates the sine of the angle. The other options provided, such as the angle being 3 or 4, or 1/4, do not correctly represent the sine of the angle.