A source of sound emitting a 1200 Hz note travels along a straight line at a speed of 170 m/s. A detector is placed at a distance of 200 m from the line of motion of the source.
Find the distance between the source and the detector at the instant it detects the frequency 1200 Hz. Velocity of sound in air = 340 m/s.

Explanation

To solve the problem, we need to find the distance between the source of sound and the detector when the frequency detected is 1200 Hz. Here's a step-by-step solution:

### Step 1: Understand the problem
We have a sound source emitting a frequency of 1200 Hz and moving at a speed of 170 m/s. The detector is positioned 200 m away from the line of motion of the source. We need to find the distance between the source and the detector when the frequency detected is still 1200 Hz.

### Step 2: Set up the scenario
Let:
- \( V_s = 170 \, \text{m/s} \) (speed of the source)
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