Conic Applications Simplified Practice

y=$(xh)z+k (xn)2+(y-i)==r= x=(yk)z+h (ykax (Jrw (HP (HP (HP tr-k)\" T'T 7 .2 =1 T'T +1 + = 1 Solve the following application problems. 1. A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reected to a single point. where the receiver is located. If the dish is 12 feet across at its opening and is 2 feet deep at its center, at what position should the receiver be placed? 2. The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 800 feet apart and 120 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 150 feet from the center of the bridge? 3. In a whispering gallery, a person standing at one focus of the ellipse can whisper and be heard by another person standing at the other focus, because all sound waves that reach the ceiling from one focus are reflected to the other focus. A hall 120 feet in length is to be designed as a whispering gallery. If foci are located 40 feet from the center, how high will the ceiling be at the center? Conic Applications Simplied Practice Name: y=+p(xh}z+k (xh)=+(yk)2=r2 x=$(yk)2+h 7k)? ( it]: [140' 7k): urn)! 4:33 (ya: 7 Ia? +1 1' +ue= = a: 7L?\" = 1 4. A bridge is built in the shape of a semlelliptical arch. The bridge has a span of 150 feet and a maximum height of 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center. Find the Intersection of the following two oonlee. 2 2 L\" (Sh'3'- 5.x+y25andq+ u 1. 6. (x+3)2+_;1.v2 =9andr=%y2