Conic Sections

A satellite dish is shaped like a paraboloid. If the dish is 10 meters wide at its opening and 2 meters deep, what is the focal length of the dish?

• 1.25 meters

• 2.5 meters

• 5 meters

• 10 meters

A whispering gallery is designed in the shape of an ellipse. If the foci are located 30 meters apart and the major axis is 50 meters long, what is the length of the minor axis?

• 20 meters

• 30 meters

• 40 meters

• 50 meters

A bridge is constructed in the shape of a parabolic arch. If the arch is 100 meters wide and 25 meters high, what is the equation of the parabola assuming the vertex is at the origin?

A flashlight has a parabolic reflector. If the bulb is located at the focus, which is 5 cm from the vertex, what is the equation of the parabola if the vertex is at the origin?

• 10 units

• 20 units

• 30 units

• 40 units

A planet orbits the sun in an elliptical path. If the semi-major axis is 150 million kilometers and the eccentricity is 0.0167, what is the distance between the foci?

• 2.5 million kilometers

• 5 million kilometers

• 10 million kilometers

• 15 million kilometers

A searchlight is designed with a parabolic mirror. If the mirror is 8 meters wide and the focus is 2 meters from the vertex, what is the depth of the mirror?

• 1 meter

• 2 meters

• 3 meters

• 4 meters

A suspension bridge cable forms a parabola. If the towers supporting the cable are 400 meters apart and 100 meters high, what is the height of the cable at its lowest point?

• 0 meters

• 25 meters

• 50 meters

• 75 meters

Tags

CCSS.HSG.SRT.C.8

A telescope mirror is shaped like a paraboloid. If the mirror is 6 meters in diameter and the focal length is 1.5 meters, what is the depth of the mirror?

• 0.5 meters

• 1 meter

• 1.5 meters

• 2 meters

• 9 units

• 12 units

• 18 units

• 24 units