+0  
 
0
316
1
avatar+37 

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
avatar+19620 
+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

 

laugh

heureka  Mar 28, 2017
edited by heureka  Mar 28, 2017

14 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.