The shadow of a tower standing on a level plane is found to be \( 60 \mathrm{~m} \) longer when ...

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The shadow of a tower standing on a level plane is found to be \( 60 \mathrm{~m} \) longer when the sun's altitude is \( 30^{\circ} \) than when it is \( 45^{\circ} \). Prove that the height of the tower is \( 30(1+\sqrt{3}) \) metres.
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