Shots are fired simultaneously from the top and bottom of a vertical cliff with the elevation \(...

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Shots are fired simultaneously from the top and bottom of a vertical cliff with the elevation \( \alpha=30^{\circ} \), \( \beta=60^{\circ} \), respectively (figure). The shots strike an object simultaneously at the same point. If \( a=30 \sqrt{3} \mathrm{~m} \) is the horizontal distance of the object from the cliff, then the height \( h \) of the cliff is
\( \mathrm{W} \)
(1) \( 30 \mathrm{~m} \)
(2) \( 45 \mathrm{~m} \)
(3) \( 60 \mathrm{~m} \)
(4) \( 90 \mathrm{~m} \)
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