Application of Conic Sections

A seismological station is located at (0, -3), 3 km away from a straight shoreline where the x-axis runs through. The epicenter of an earthquake was determined to be 6 km away from the station. Find the equation of the curve that contains the possible location of the

epicenter.

• $x^2+(y+3)^2=36$

• $x^2+(y-3)^2=36$

• $x^2+(y+3)^2=6$

• $x^2+(y-3)^2=6$

A satellite dish shaped like a paraboloid, has diameter 2.4 ft and depth 0.9 ft. If the receiver is placed at the focus, how far should the receiver be from the vertex?

• 0.4 ft

• 0.5 ft

• 0.6 ft

• 0.7 ft

A whispering gallery has a semielliptical ceiling that is 9 m high and 30 m long. How high is the ceiling above the two foci?

• 5.4 m

• 5.5 m

• 5.6 m

• 5.7 m