# Conics Problem Part 2

1. Jun 12, 2008

### temaire

1. The problem statement, all variables and given/known data
This is the second page.
http://img116.imageshack.us/img116/7519/arch2iq9.jpg [Broken]​
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2. Relevant equations
Formulas on picture above.

3. The attempt at a solution
I'am just wondering if everything looks fine.

Last edited by a moderator: May 3, 2017
2. Jun 12, 2008

### konthelion

part (i) is correct.
For part (ii), I don't think that's how you would solve for b. There's a formula to solve for b. $$b^2=c^2-a^2$$ where c is your focii and a is the distance from your center (0,30) to the vertex of the hyperbola. a=10, c=30, then b=?

3. Jun 13, 2008

### konthelion

Whoops, I realized that the problem is using a different form of the vertical hyperbola instead of $$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1$$, so in this case I switched a and b around.

In this problem, where b=10(the distance from center to vertex of hyperbola) is correct.