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UPSC 2017 CDS II Math Paper

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Question : 53

Total: 100

Let AB represent a building of height h metre with A being its top, B being its bottom. Let A'B' represent a tower of height (h + x) metre (x > 0) with A' being its top and B' being its bottom. Let BB' = d metre. Let the angle of elevation of A' as seen from A be 45°
Consider the following statements :
Statement I: h + x > d
Statement II: The angle of depression of B as seen from A' is less than 45°.
Which one of the following is correct in respect of the above statements ?

Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I
Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I
Statement I is true but Statement II is false
Statement I is false but Statement II is true

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