Assuming a Truck Is 12 Wide What Is the Tallest Trick That Can Pass Under the Overpass



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Question 590887: a one-way road passes under an overpass in the shape of half and ellipse, 15ft high at the middle and 20ft wide. Bold a truck is 16ft wide, what is the tallest truck that can pass under the overpass?
Answer by lwsshak3(11628) About Me (Show Source):

You can put this solution on YOUR website!
a one-style route passes under an overpass in the shape of one-half and ellipse, 15ft high at the middle and 20ft broad. Assuming a truck is 16ft wide, what is the tallest truck that tin pass nether the overpass?
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This problem can be represented past an ellipse with a vertical major axis of the standard grade:
(10-h)^2/b^two+(y-chiliad)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center.
..
center: (0,0) (center line of route)
a=fifteen ft (height of overpass at center)
a^2=225
b=ten (1/2 the width of the route)
b^ii=100
equation of ellipse:
ten^2/100+y^2/225=1
The point at which a truck xvi ft wide would impact the overpass would have and x-coordinates �8 ft from center. Its y-coordinate is the respond to given problem.
Plug in x=8 ft in equation to solve for y.
8^2/100+y^2/225=one
y^2/225=i-64/100
y^two=225-225*64/100=81
y=9 ft
ans:
The tallest truck that can laissez passer under the overpass would be ix feet in top


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