## finding a point on an ellipse

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
jmcmath
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### finding a point on an ellipse

I have this question that I am stumped on, I have changed the numbers to a practice another version so that it is not the exact question on my homework.

An arch of a bridge is semielliptical, with major axis horizontal. The base of the arch is a across, and the highest part of the arch is b above the horizontal roadway, as shown in the figure. Find the height of the arch 7 feet from the center of the base. Assume a = 40 feet, b = 8 feet. (Round the answer to one decimal place.)

What I did..
wrote out my equation as (x^2/1600)+(y^2/64) = 1 from a^2 = 40^2 b^2 = 8^2
so i enter 7 in for x making it 49/1600 +y^2/64 = 1 that becomes sqrt ((1-49/1600) * 64)
that gives me the answer 7.9 however the answer key says 7.5 so where am i going wrong?

stapel_eliz
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Maybe the answer key has a typo. I get your value.

jmcmath
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Joined: Tue Nov 06, 2012 12:14 am
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### Re: finding a point on an ellipse

noooo haha, now im so cunfused to why its counting my answer to the regular question wrong! i only have 3 tries! haha

stapel_eliz
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Joined: Mon Dec 08, 2008 4:22 pm
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noooo haha, now im so cunfused to why its counting my answer to the regular question wrong! i only have 3 tries! haha
I'm sorry, but I don't know what this means.

jmcmath
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Joined: Tue Nov 06, 2012 12:14 am
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### Re: finding a point on an ellipse

Its on an online homework site called webassign. after 3 tries you loose all points possible for the question, I have submitted 2 wrong answers so I only have 1 attempt left to get it correct! I really dont see whats flawed with this unless the homework answer is just incorrect

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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Its on an online homework site called webassign. after 3 tries you loose all points possible for the question, I have submitted 2 wrong answers so I only have 1 attempt left to get it correct! I really dont see whats flawed with this unless the homework answer is just incorrect
If you know the answer they want, why not give them that answer? Sure, it's wrong (assuming your posted question is correct), but at least you'll get the points.

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