Question

heyy guys need help ASAP....... A semi ellliptical tunnel has a span of 10 meters and a central height of 4 meters. What is the height of the tunnel 2.5 meters from the center??

Answer 1

Answer:

semielliptical arch. The bridge has a span of 60 feet and a maximum height of 20 feet. Find the height of the arch at distances 5, 10, and 20 feet from the center.

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Equation of an ellipse with horizontal major axis with center at (0,0):

x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1

For given problem:

b=20

b^2=400

a=30

a^2=900

equation: x%5E2%2F900%2By%5E2%2F400=1

y%5E2%2F400=1-x%5E2%2F900

y%5E2=%281-x%5E2%2F900%29%28400%29

y=√[(1-x^2/900)(400)]

plug in x-values of 5, 10, and 20 ft

f(5)=√[(1-25/900)(400)]≈19.72 ft (arch height 5 ft from center)

f(10)=√[(1-100/900)(400)]≈18.86 ft (arch height 10 ft from center)

f(20)=√[(1-400/900)(400)]≈14.91 ft (arch height 20 ft from center)

Answer 2

Answer:

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Step-by-step explanation:

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