The maximum height that an 8-foot-wide truck can have in order to pass through a parabolic tunnel that is 18 feet high and 12 feet wide, is

Question

The maximum height that an 8-foot-wide truck can have in order to pass through a parabolic tunnel that is 18 feet high and 12 feet wide, is (A) 12 (B) 14 (C) 10 (D) 8

Tardigrade Admin · Accepted Answer

Equation of the parabola can be taken as 2 y=36-x2 so that it satisfies (-6,0),(6,0) and (0,18) Now if x=4 2 y=20 ⇒ y=10 ⇒ text C.

Q. The maximum height that an 8-foot-wide truck can have in order to pass through a parabolic tunnel that is 18 feet high and 12 feet wide, is

12

14

10

8

Equation of the parabola can be taken as
$2 y = 36 - x^{2}$
so that it satisfies $(- 6, 0), (6, 0)$ and $(0, 18)$
Now if $x = 4$
$2 y = 20 \Rightarrow y = 10 \Rightarrow C.$

Q. The maximum height that an 8-foot-wide truck can have in order to pass through a parabolic tunnel that is 18 feet high and 12 feet wide, is

12

14

10

8

Equation of the parabola can be taken as 2y=36−x2 so that it satisfies (−6,0),(6,0) and (0,18) Now if x=4 2y=20⇒y=10⇒ C.

Equation of the parabola can be taken as
$2 y = 36 - x^{2}$
so that it satisfies $(- 6, 0), (6, 0)$ and $(0, 18)$
Now if $x = 4$
$2 y = 20 \Rightarrow y = 10 \Rightarrow C.$