Question

A ship sails 90 km due north and then120 km due west. How far is it from itsstarting position?

Answer 1

The answer is 150km your welcome

Answer 2

Given:

A ship sails 90 km due north and then 120 km due west.

Required:

The distance of the ship from the starting point.

Step-by-step explanation:

We have a ship sails first 90 km due north and then 120 km due west.

Let the distance of the ship from the starting point be x.

If we draw the figure, it is given below:

Then by using Pythagorean formula, we get,

`\begin{gathered} x^2=\left(90\right)^2+(120)^2 \\ \Rightarrow x^2=8100_+14400 \\ \Rightarrow x^2=22500 \\ \Rightarrow x=√(22500) \\ \Rightarrow x=150 \end{gathered}`

Final Answer:

The distance of the ship from the starting point is 150 km.