To Find :-
- Whether the given dimensions will work or not .
Here Taylor wants to install a wheelchair ramp with an angle of elevation not more than 4.8° . And according to the given figure , the height of the ramp is 8ft and its base length is 100ft .
In a right angled triangle we know that ,
[tex]\longrightarrow \tan\theta =\dfrac{perpendicular}{base}[/tex]
In the given figure , perpendicular is 8ft and base is 100ft . So , the given dimensions will work if ,
[tex]\longrightarrow \tan\theta = \dfrac{perpendicular_{ramp}}{base_{ramp}}[/tex]
Substitute ,
[tex]\longrightarrow \tan4.8^o = \dfrac{8ft}{100ft} [/tex]
Substituting the value of tan4.8° ,
[tex]\longrightarrow 0.83 = 0.8 [/tex]
And ,
[tex]\longrightarrow 0.83 \approx 0.8 [/tex]
Therefore the given dimensions will work .
