Answer:
The answer is 12 feet.
Step-by-step explanation:
Let the height of the truck be represented by y.
The ellipse has the equation [tex]\frac{x^{2} }{10^{2} } +\frac{y^{2} }{15^{2} } =1[/tex]
We have to find the y-coordinates when x is equal to 6 (half the width of the road)
So, [tex]\frac{36}{100}+\frac{y^{2} }{225} =1[/tex]
Multiplying throughout by 225 to get [tex]81^{2}+y^{2}=225[/tex]
Solving this we get, [tex]y^{2} =144[/tex]
Hence, y = 12
So, the tallest truck that will fit under the pass will be 12 feet tall.
