b
Here, frequency of sound emitted by siren,
$v_{0}=800 \mathrm{Hz}$
Speed of source, $v_{s}=15 \mathrm{m} / \mathrm{s}$
Speed of sound in air, $\mathrm{v}=330 \mathrm{m} / \mathrm{s}$
Apparent frequency of sound at the cliff $=$ Frequency heard by observer $=v$
Using Doppler's effect of sound
$v=\left(\frac{v}{v-v_{S}}\right) v_{0}=\frac{330}{330-15} \times 800$
$=\frac{330}{315} \times 800=838.09 \mathrm{Hz} \approx 838 \mathrm{Hz}$