A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing of 146. (1) sketch the diagram of his movements (2) calculate correct to the nearest kilometre, the distance PR​

9514 1404 393

Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

  PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

  PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

  PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.

B is the answer

Step-by-step explanation:

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