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A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 yards, 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 10 yards 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 out his whisper chamber?

53.9 yd
45.8 yd
26.9 yd
22.9 yd

Respuesta :

kynnediealexander05

Answer:

22.9 yd

Step-by-step explanation:

You add them up and then you divide and you get your answer

The length of the Minor Axis is 45.8 yards, the correct option is B.

What is the standard equation of an Ellipse?

The standard equation of an ellipse is

(x²/a²) + (y²/b²) = 1

The major axis of the ellipse is given as 50 yards

2a = 50

a = 25

The focus is at 10 yards

c = 10

The length of the minor axis is represented by 2b

The focus c² = a²-b²

10² = 25² - b²

b² = 625 -100

b² = 525

b = √525

b = 22.9 yards

2b = 45.8 yards

Therefore, the length of the Minor Axis is 45.8 yards, the correct option is B.

To know more about Standard equation of Ellipse

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