SOLUTION: A rectangle with sides of 30- and 40- units is placed with its center at the origin of a Cartesian coordinate system. When the rectangle is rotated around the origin, what is the m

Question 266537: A rectangle with sides of 30- and 40- units is placed with its center at the origin of a Cartesian coordinate system. When the rectangle is rotated around the origin, what is the maximum y- value any vertex of the rectangle will achieve?
Found 2 solutions by Alan3354, drk:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
25
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The distance from the Origin to all vertices is 25.
A vertex is at (15,20).
The distance to it is sqrt(15^2 + 20^2) = 25.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
If we place our rectangle at the origin, we create four coordinates:
(20,15), (20,-15) (-20,15), and (-20, -15)
Since the largest value is 20 for both x and y, the largest y-value as we rotate will also be 20.
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