In a \( \triangle \mathrm{ABC}, \mathrm{B}=90^{\circ}, \mathrm{AC}=\mathrm{h} \) and the length ...

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In a \( \triangle \mathrm{ABC}, \mathrm{B}=90^{\circ}, \mathrm{AC}=\mathrm{h} \) and the length of the perpendicular from \( \mathrm{B} \) to \( \mathrm{AC} \) is \( \mathrm{p} \) such that \( \mathrm{h}= \) \( 4 p \). If \( A BB C \) then \( \angle C \) has the measure
(a) \( \frac{5 \pi}{12} \)
(b) \( \frac{\pi}{6} \)
(c) \( \frac{\pi}{12} \)
(d) none of these
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