ANSWER
[tex]602.1Hz[/tex]EXPLANATION
To find the frequency that the motorcyclist hears, we have to apply the rules of the Doppler effect. Doppler effect describes the change in perceived frequency of a wave based on the observer and the source of the wave.
For an object moving toward the source of the wave, we have that the frequency is:
[tex]f^{\prime}=\frac{(v+v_0)}{(v-v_s)}f[/tex]where v = velocity of sound waves
v0 = velocity of motorcyclist
vs = velocity of source of sound
f = frequency
Therefore, substituting the given values, we have that the frequency that the motorcyclist hears is:
[tex]\begin{gathered} f^{\prime}=\frac{343+14.8}{343-32.2}\cdot523 \\ f^{\prime}=\frac{357.8}{310.8}\cdot523 \\ f^{\prime}=602.1Hz \end{gathered}[/tex]That is the answer.
