Question

Question #b6919

Answer 1

The boat is moving at `20/sqrt(3) kph` or `11.54 kph`

Explanation:

We want the passenger to think that the boat is moving north, so we don't want the boat moving away or towards the passenger. So the **velocity of the boat in the east direction has to be the same as the velocity of the ship in the east direction ** so the passenger doesn't see the boat get closer or farther away.

We have a triangle that looks like this

And we are solving for X .

We know that `cos(30) = 10/x`

Rearranging gives `x = 10/cos(30)`

So `x = 10/(sqrt(3)/2) = 20/sqrt(3)`

So the velocity of the boat is `11.54 kph` going 30 degrees to the east.