Two inclined planes \( O A \) and \( O B \) háving inclination (with horizontal) \( 30^{\circ} \...

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Two inclined planes \( O A \) and \( O B \) háving inclination (with horizontal) \( 30^{\circ} \) and \( 60^{\circ} \), respectively, intersect each other at \( O \) as
\( \mathrm{P} \) shown in figure. A particle is projected from point \( P \) with velocity

W \( u=10 \sqrt{ } \mathrm{m} \mathrm{s}^{-1} \) along a direction perpendicular to plane \( O A \). If the particle strikes plane \( O B \) perpendicularly at \( Q \), calculate
The maximum height attained by the particle (from the line \( O \) )
(1) \( 20.5 \mathrm{~m} \)
(2) \( 5 \mathrm{~m} \)
(3) \( 16.25 \mathrm{~m} \)
(4) \( 11.25 \mathrm{~m} \)
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