A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 30 ft, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 4 ft from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis, should he build his whisper chamber? 29.7 ft

28.9 ft

14.5 ft

7.2 ft

The extent to which he should build the whisper chamber along the minor axis is approximately;

14.5 ft

Step-by-step explanation:

The question examines the relationship between the dimensions of the focus, half the length of the minor axis and half the length of the major axis

let, 'c', represent the length of the focus from the center of the ellipse, let 'a', represent half the length of the major axis, and let 'b', represent half the length of the minor axis, we have;

a² = b² + c²

The given parameters are;

The length of the major axis, 2·a = 30 ft.

The distance of the focus from the center, c = 4 ft.

Therefore, we have;

a = 30 ft./2 = 15 ft.

a = 15 ft.

From a² = b² + c², we have;

b² = a² - c²

By plugging in the values, we have;

b² = (15 ft.)² - (4 ft.)² = 209 ft.²

b = √209 ft· ≈ 14.5 ft.

The distance from the center to the vertex of the minor axis of the elliptical whisper chamber, b ≈ 14.5 ft.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

answer. d.289 hope that