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A flog pole 'h' metres is on the top of ...

A flog pole 'h' metres is on the top of the hemispherical dome of radius 'r' metres. A man is standing 7m away form the dome. Seeing the top of the pole at an angle `45^(@) and ` moving 5 m away from the dome and seeing the bottom of the pole at angle `30^(@)`. Find
the height of the pole

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A flog pole 'h' metres is on the top of the hemispherical dome of radius 'r' metres. A man is standing 7m away form the dome. Seeing the top of the pole at an angle 45^(@) and moving 5 m away from the dome and seeing the bottom of the pole at angle 30^(@) . Find radius of the dome.

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