In a harbour, wind is blowing at the speed of ` 72 km //h` and the flag on the mast of a boat anchored in the harbour flutters along the N-E` direction`. If the boat starts moving at a speed of ` 51 km// h` to the North, what is the direction of flag on the mast of the bat ?

Explanation

To solve the problem, we need to determine the direction of the flag on the mast of the boat when it starts moving north while the wind is blowing from the northeast. Here’s a step-by-step solution:

### Step 1: Understand the Given Information
- The wind speed is \( 72 \, \text{km/h} \) and is blowing in the northeast direction.
- The boat moves at a speed of \( 51 \, \text{km/h} \) towards the north.

### Step 2: Represent the Wind Velocity
The wind blowing in the northeast direction can be represented as having equal components in the north and east directions. In vector form:
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