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From a light-house an observer two ships...

From a light-house an observer two ships A and B. Ship A proceeding towards north at a speed `20sqrt(2)` km//h and ship B proceeding towards north-east at a speed of 20 km//h. Find in which direction and at what speed the ship B would appear to move to an observer standing on the deck of the ship A.

Text Solution

AI Generated Solution

To solve the problem, we need to find the speed and direction of ship B as observed from ship A. Let's break down the solution step by step. ### Step 1: Define the velocities of the ships - **Velocity of Ship A (V_A)**: Ship A is moving north at a speed of \(20\sqrt{2}\) km/h. In vector form, this can be represented as: \[ V_A = 20\sqrt{2} \, \hat{j} \, \text{km/h} \] where \(\hat{j}\) represents the north direction. ...
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