Question

A ship is moving due north across a river running
towards west. At the end of one hour it is found
that the ship has made 8√3 km in a direction 30°
west of north. Find the speed of the ship.​

Answer 1

Answer:

The speed of the ship is 12 km/h.

Explanation:

Given that,

Distance $d=8\sqrt{3}\ km$

Angle = 30°

The ship covered the vertical distance in one hour is

$d= 8\sqrt{3}\cos30^{\circ}$

We need to calculate the speed of the ship

Using formula of speed

$v=\dfrac{d}{t}$

$v=\dfrac{ 8\sqrt{3}\cos30^{\circ}}{1}$

$v=\dfrac{8\sqrt{3}\times\dfrac{\sqrt{3}}{2}}{1}$

$v=12\ km/h$

Hence, The speed of the ship is 12 km/h.

Answer 2

velocity of boat can be found through using the above diagram