contestada

A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 40 meters, 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 5 meters 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?

A: 19.4 m
B: 38.7 m
C: 39.7 m
D: 79.4 m

Respuesta :

Answer:

19.4

Step-by-step explanation:

The minor axis of the ellipse is 39.7 m, the correct option is C.

What is the standard equation of ellipse?

The standard equation of the ellipse is given by

[tex]\rm \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} = 1[/tex]

The major axis is given as 40 meters

2a = 40

a = 20

The focus of the ellipse is c = 5

5² = 20² - b²

b² = 400 -25

b = √375

b = 19.36m

2b = 39.7 m

The minor axis of the ellipse is 39.7 m

To know more about Standard Equation of ellipse

https://brainly.com/question/14281133

#SPJ2

Otras preguntas