Answer:
The length of the ramp must be at least 14.71 feet
Step-by-step explanation:
Given
[tex]BC = 2.3ft[/tex]
[tex]\theta = 9^\circ[/tex]
See attachment for complete figure
Required
Length of the ramp (z)
To do this, we consider sin of angle A ([tex]\theta[/tex]).
So, we have:
[tex]sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]sin(9)= \frac{2.3}{z}[/tex]
Make z the subject
[tex]z= \frac{2.3}{sin(9)}[/tex]
[tex]z = \frac{2.3}{0.1564}[/tex]
[tex]z = 14.71 ft[/tex]
The length of the ramp must be at least 14.71 feet
