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14. Heights and Distances
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Q22 of 58 Page 665

In a rectangle, the angle between a diagonal and a side is 30° and the length of this diagonal is 8 cm. The area of the rectangle is

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Let ABCD be the rectangle. Given that, BD = 8cm, ∠DBC = 30°.


In ∆BCD,



or,



Again,



or,



Area of the rectangle = .


So, the correct option is (C).

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14. Heights and Distances
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