Two ships leave a port at the same time. One sails at 17km/h on a bearing of 205 degrees. The other sails at 21 km/h on a bearing of 243 degrees. How far apart are the ships after 2 hours?

micheala950831
Mar 28, 2017

#1**+2 **

**Two ships leave a port at the same time. One sails at 17km/h on a bearing of 205 degrees. **

**The other sails at 21 km/h on a bearing of 243 degrees. **

**How far apart are the ships after 2 hours?**

After 2 hours:

Let d = the distance

\(\begin{array}{|rcll|} \hline d^2 &=& 42^2 + 34^2 - 2 \cdot 42 \cdot 34 \cdot \cos(243^{\circ}-205^{\circ} ) \\ d^2 &=& 2920 - 2856 \cdot \cos(38^{\circ} ) \\ d^2 &=& 2920 - 2856 \cdot 0.78801075361 \\ d^2 &=& 2920 - 2250.55871230 \\ d^2 &=& 669.441287699 \\ d &=& 25.8735634905\ km \\ \hline \end{array}\)

The distance after 2 hours is** 25.874 km**

heureka
Mar 28, 2017