Final answer:
To find the distance between point Y and Z, we need to use vector addition. By adding the displacement vectors of the two legs of the journey using trigonometry, we find that the distance is approximately 17km.
Step-by-step explanation:
To find the distance between point Y and Z, we need to use the concept of vector addition. Point Y is the starting point of the boat, which is 6km from point X on a bearing of 065°. The boat then travels 13km on a bearing of 136° to reach point Z.
To find the distance between point Y and Z, we can add the displacement vectors of the two legs of the journey. The displacement vector for the first leg is 6km at a bearing of 65°, and the displacement vector for the second leg is 13km at a bearing of 136°.
By adding these two displacement vectors using trigonometry, we find that the distance between point Y and Z is approximately 17km.