A boy riding on his bike is going towards east at a speed of `4 sqrt2` m/s. At a certain point he produces a sound pulse of frequency 1650 Hz that travels in air at a speed of 334 m/s. A second boy stands on the ground 45° south of east from him. Find the frequency of the pulse as received by the second boy.

Explanation

To solve the problem, we need to apply the concept of the Doppler effect, which describes the change in frequency of a wave in relation to an observer moving relative to the source of the wave.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Speed of the boy (source of sound), \( V_s = 4\sqrt{2} \) m/s (towards east).
- Frequency of the sound pulse, \( f_0 = 1650 \) Hz.
- Speed of sound in air, \( v = 334 \) m/s.
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