A length of the shadow of a vertical tower on level ground increases by 10 metres when the altitude of the sun changes form 45° to 30°. The height of tower is ________m. (upto 2 decimal places)

1
\(5\left( \sqrt{3}+1 \right)metres\)
2
\(5\left( \sqrt{3}-1 \right)metres\)
3
\(5\sqrt{3}metres\)
4
\(\frac{5}{\sqrt{3}}metres\)

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