A man going east in a car with a velocity of 20 km/hr, a train appears to him to move towards north with a velocity of `20 sqrt(3)` km/hr. What is the actual velocity and direction of motion of train?

Explanation

To solve the problem of finding the actual velocity and direction of motion of the train, we can follow these steps:

### Step 1: Understand the Given Information
- The man is moving east with a velocity of \( V_m = 20 \) km/hr.
- The train appears to move north with a velocity of \( V_{tm} = 20\sqrt{3} \) km/hr (this is the velocity of the train with respect to the man).

### Step 2: Set Up the Relative Velocity Equation
Using the concept of relative velocity, we can express the velocity of the train with respect to the ground \( V_t \) as:
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