Question

if the track is 2.00 m in length, and one end is raised vertically by 30.0 cm, what is the angle θ with the horizontal that the track makes (show your equations and answer with units for all slides)?

Answer 1

To find the angle θ that the track makes with the horizontal, we can use trigonometrThe angle θ with the horizontal that the track makes is approximately 8.54°.

Step-by-step explanation:

To find the angle θ that the track makes with the horizontal, we can use trigonometry. The vertical height (h) of the raised end of the track is 30.0 cm, which is equal to 0.30 m. The length of the track (L) is given as 2.00 m. Using these values, we can use the tangent function to find θ:

θ = tan-1(h/L) = tan-1(0.30/2.00) ≈ 8.54°

Therefore, the angle θ with the horizontal that the track makes is approximately 8.54°.