SOLUTION: Two promotional stands are to be placed in an ellipse-shaped room—one at each foci—and are 3 units from the center. If the room is 8 units wide, what is its length?
a. √5
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a. √5
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Question 1180069: Two promotional stands are to be placed in an ellipse-shaped room—one at each foci—and are 3 units from the center. If the room is 8 units wide, what is its length?
a. √5 units
b. √4 units
c. √8 units
d. √7 units
e. √3 units Answer by MathLover1(20850) (Show Source):
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We are given the value of and ;
is the width of the ellipse and is the focus of the ellipse
for an ellipse the equation to be used to find or the length of the ellipse is:
substitute the values in the equation to solve for the missing variable:
units is , therefore,
solve for :
units
Therefore, the value of is units and your answer is
d. units
