Final answer:
To find the angle of inclination of a 11.9 m long ramp that rises 1.24 m, use the inverse tangent function, which results in an angle of approximately 5.93° to two decimal places.
Step-by-step explanation:
The question is asking to find the angle of inclination of a ramp that is 11.9 m in length and rises 124 cm. To solve for the angle, we use trigonometry, particularly the inverse of tangent function (arctan), which relates the ratio of the opposite side to the adjacent side of a right-angled triangle to an angle. We must first convert the rise from centimeters to meters to be consistent with the length. Consequently, we have 124 cm = 1.24 m.
The formula to find the angle (θ) is θ = arctan(opposite/adjacent). Substituting the given values, we get θ = arctan(1.24/11.9).
Using a calculator, we find:
θ = arctan(1.24/11.9) = arctan(0.1042) ≈ 5.93°
Therefore, the angle of inclination of the ramp is approximately 5.93 degrees. This angle should be expressed to two decimal places as the question requests.