Answer:
The length of the ramp is 44.646... inches.
Step-by-step explanation:
According to the below diagram, length of the ramp is [tex]BC[/tex], which is 16 inches high from the ground.
That means, [tex]AB= 16[/tex] inches.
The angle formed by the ramp and the ground is 21°. So, [tex]\angle BCA= 21\°[/tex]
Now in right triangle [tex]ABC[/tex],
[tex]Sin(21\°)=\frac{AB}{BC}\\ \\ Sin(21\°)= \frac{16}{BC} \\ \\ BC=\frac{16}{Sin(21\°)}=44.646...[/tex]
So, the length of the ramp is 44.646... inches.
