A man, walking on a level plane towards a tower, observes that at a certain point the angular he...

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A man, walking on a level plane towards a tower, observes that at a certain point the angular height of the tower is \( 10^{\circ} \), and after going 50 metres nearer the tower, the elevation is found to be \( 15^{\circ} \), Having given
\[
L \sin 15^{\circ}=9.4129962, L \cos 5^{\circ}=9.9983442
\]
\( \log 25.783=1.4113334 \) and \( \log 25.784=1.4113503 \)
find to 4 places of decimals the height of the tower in metres.
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