Question

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge? A. The truck can pass safely under the bridge. The truck is 13 inches shorter than the maximum height.

B. The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
C. The truck can pass safely under the bridge. The truck is 12 inches shorter than the maximum height.
D. The truck cannot pass safely under the bridge. The truck is 12 inches taller than the maximum height

Answer 1

Answer : "The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height".

Explanation :

It is given that,

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches.

The height of the truck is 162 inches.

Now first converting 12 feet 5 inches into inches as :

We know that 1 feet = 12 inches

`12\ feet \ 5\ inches = (12\ inches* 12\ inches)+5\ inches=149\ inches`

We can say that the maximum height of a vehicle that can pass under a bridge is 149 inches.

So, the truck cannot pass safely under the bridge. The truck is 162 inches - 149 inches = 13 inches taller than bridge.

So, the correct option is (b) "The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height".

Answer 2

Height of the truck =m 162 inches
Height of the bridge under which vehicles pass = 12 feet 5 inches
= (12 * 12) + 5 inches
= 144 + 5 inches
= 149 inches
We arrived at the above deduction from the fact that 1 feet is equal to 12 inches.
Now
Difference in height of the truck and the bridge is = 162 - 149 inches
= 13 inches
So the truck is 13 inches taller than the maximum height of the bridge. The correct option among all the options that are given in the question is the second option or option "B". I hope it helps you.