Aone way road passes under an overpass in the shape of half an ellipse, 15 ft. high at the center and 20 ft wide. assuming a truck is 12 ft. wide what is the tallest truck that can pass under the overpass?

The answer is 12 feet.

Step-by-step explanation:

Let the height of the truck be represented by y.

The ellipse has the equation

We have to find the y-coordinates when x is equal to 6 (half the width of the road)  

So,  

Multiplying throughout by 225 to get

Solving this we get,

Hence, y = 12

So, the tallest truck that will fit under the pass will be 12 feet tall.

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