A cliff and a tower stand on the same horizontal plane. The height of the cliff is 140 metres, a...

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A cliff and a tower stand on the same horizontal plane. The height of the cliff is 140 metres, and the angles of depression of the top and bottom of the tower as seen from the top of the cliff are \( 40^{\circ} \) and \( 80^{\circ} \) respectively. Find the height of the tower.
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