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UCEED 2017

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UCEED2017Q20·nat·Hard

A greenhouse constructed in the shape of a hemi-spherical dome houses a cuboid structure as shown in the given figure. The top four corners of the cuboid just touch the inside of the hemi- sphere. The diameter of the hemi-sphere is 20 m. The centre of the base of the cuboid and the centre of the base of the hemi-sphere coincide. A ladder AB is placed from one corner of the cuboid as indicated by the point B, reaching the centre of the top surface of the cuboid as indicated by the point A. What is the length of the ladder AB?

A greenhouse constructed in the shape of a hemi-spherical dome houses a cuboid structure as shown in the given figure. The top four corners of the cuboid just touch the inside of the hemi- sphere. The diameter of the hemi-sphere is 20 m. The centre of the base of the cuboid and the centre of the base of the hemi-sphere coincide. A ladder AB is placed from one corner of the cuboid as indicated by the point B, reaching the centre of the top surface of the cuboid as indicated by the point A. What is the length of the ladder AB?
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