Answer:
θ = 27.47°
Step-by-step explanation:
This problem can be represented as a right-angled triangle, as shown in the diagram below.
To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:
tanθ = [tex]\frac{opposite}{adjacent}[/tex]
In the diagram, opposite = 1.3 m and adjacent = 2.5 m
Hence:
tanθ = [tex]\frac{1.3}{2.5}[/tex]
tanθ = 0.52
θ = [tex]tan^{-1} 0.52[/tex]
θ = 27.47°
The ramp forms 27.47° with the ground.
