The angle of inclination of the ramp is 4.76 degrees.
A right-angled triangle is a type of triangle that has an angle that is equal to 90°. It has a hypotenuse (which is usually the longest side, the opposite facing the hypotenuse, and the adjacent (which is called the baseline).
From the parameters given:
We can determine the angle of inclination by using the tangential trigonometric function.
[tex]\mathbf{Tan \ \theta = \dfrac{opp}{adj}}[/tex]
[tex]\mathbf{Tan \ \theta = \dfrac{1.5}{18 }}[/tex]
[tex]\mathbf{Tan \ \theta =0.0833}[/tex]
θ = tan ⁻¹(0.0833)
θ = 4.76 degrees
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The angle of incline of the ramp is 4.76 degrees
Trigonometric ratios is used to show the relationship between the sides and angles of a right angled triangle.
The ramp has the shape of a right angled triangle. Let θ represent the angle of incline of the ramp, using trigonometric ratios:
tan(θ) = 1.5 / 18
θ = 4.76 degrees
The angle of incline of the ramp is 4.76 degrees
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