24. If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the waves will converge at the location of the other focus. If the pond has a major axis of 68 feet and a minor axis of 32 feet, how far apart are the foci? 30 feet 36 feet 054 feet 60 feet

24. If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the waves will converge at the location of the other focus. If the pond has a major axis of 68 feet and a minor axis of 32 feet, how far apart are the foci? 30 feet 36 feet 054 feet 60 feet

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

24. If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the
waves will converge at the location of the other focus. If the pond has a major axis of 68 feet
and a minor axis of 32 feet, how far apart are the foci?
30 feet
O36 feet
054 feet
60 feet

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Activity 4 A.) An ellipse is the set of points such that the sum of distance from two fixed point constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth
The vertices of an ellipse of eccentricity 0.5 lie at the points (0, +-2). Where do the foci lie?
Use this graph to find each part of the ellipse. A. Orientation. I Select ] B. Center. I Select ] C. Co-Vertices. ( Select ) D. Length of Major Axis. I Select1 E. Length of Minor Axis Seleci 1 F. Foci. I Select] G. Valuc of a. Iselect1 1. Valuc of b. Select1
3. When riding the London Eye (Very large Ferris Wheel with pods), a person's height over time can be determined. The London Eye is 443 ft tall and the wheel has a diameter of 394 feet. One revolution takes 20 minutes. a) Determine a sinusoidal equation to model this scenario using the values of a, k, d & c. b) How high are you after 11 min? c) At what height above the ground (minimum height) do you get onto the Ferris Wheel? d) Use this equation to find out how long the rider will be 400 ft or higher above the ground in one revolution. = 443 = 221.5 ft 42 P=20min K=* do start pt - 20 mins (Complete on revolute) ince cosine starts at max: when t=o do- no phase Shift + 14 =2=27π Чт 20 C=O person starts at bottom 25 in (1x1) +443 (t) = 221-5 cos (1/10t