Answer: It is possible that a truck of 8 m tall and 4 m wide pass through the tunnel.
Step-by-step explanation:
Since we have given that
A highway tunnel has a shape that can be modeled by equation of a parabola:
Since the width of the tunnel is 18 m wide,
So, We consider the endpoints :
So, our equation becomes,
Now, we have given that the height of the tunnel is 16 m and the edge of tunnel is 5 m say 'y'.
so, it becomes,
so, finally, equation becomes,
Now, dimensions of truck is 8 m tall and 4 m wide.
So, y = 8
So,
By using the "Quadratic formula " , we get:
So, Now, we get hte distance between the points and
So, it becomes
Allowed width is given by
And the width of the truck is 4m
So , it is possible that a truck of 8 m tall and 4 m wide pass through the tunnel.