Question

Two ships A and B start sailing from port P at the same time .Ship A sailing at 40km/h is on a bearing of 195degrees and ship B sailing at 24km/h on a bearing of 285degrees find the distance between the two ships

Answer 1

Given:

Speed of sheep A = 40 km/h

Bearing = 195 degrees

Sheep of speed B = 24 km/h

Bearing = 285 degrees

Let's find the distance between the two ships.

The figure below represents this situation:

Let's find the distance between the two ships.

We can see the figure forms a right triangle.

TO find the distance between the two ships apply Pythagorean Theorem:

`c=\sqrt[]{a^2+b^2}`

Where:

a = 24 km/h

b = 40 km/h

Thus, we have:

`\begin{gathered} c=\sqrt[]{24^2+40^2} \\ \\ c=\sqrt[]{576+1600} \\ \\ c=46.65^{}km \end{gathered}`

The distance is 46.65 km

ANSWER:

46.65 km