The angle of inclination of the ramp is 0.13°.
Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The diagram shows the measures of ramp.
The length of the ramp, hypotenuse side = 45 feet
Height of the stairs, opposite side = 6 feet
According to trigonometry ratio, the ratio that links the hypotenuse and opposite side is sin θ.
⇒ [tex]sin \theta=\frac{opposite }{hypotenuse}[/tex]
⇒ [tex]sin \theta=\frac{6}{45}[/tex]
⇒ [tex]\theta=sin^{-1}(0.1333)[/tex]
⇒ [tex]\theta=0.1337[/tex] ≈ [tex]0.13[/tex]
Hence we can conclude that the angle of inclination of the ramp is 0.13°.
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