A hall 100 feet in length is to be designed as a whispering gallery. If the foci are located 25 feet from the center, how high will the ceiing be at th center?
I believe that the minor axis, 2a is 150 feet and what Im trying to find is the major axis, 2b. So all i have to do is use this equation b2=a2-c2. b2= 75 squared - c2.
I have no idea what c is, or am i doing this completely wrong?
If the foci are twenty-five feet from the center, then c = 25. You are given that the room will be 100 feet long, so the ends (the vertices) are clearly fifty feet from the center, so a = 50.
Originally Posted by blackandwhite
Use the formula relating a, b, and c, to find the value of b. Then write the equation, centering the ellipse (for convenience) at the origin, so (h, k) = (0, 0).