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Need help solving this question - Cosine Rule

I'm not sure how to calculate the acute angle from the bearings to use the cosine rule to find the solution. Can anyone help please? The written question is below but I was unable to add the diagram...

A plane flies from Airport A on a bearing of 40° for 120km and then on a bearing of 130° for 150km. Calculate the distance of the plane from the airport.
(edited 1 year ago)
I’m a little confused about how that looks. Could you sketch the diagram alongside the question, even if it’s messy and not to scale?
Original post by SagaciousSag
I’m a little confused about how that looks. Could you sketch the diagram alongside the question, even if it’s messy and not to scale?


I'm struggling to upload direct so I've used an image sharing site. This is how it appears in the text book https://i.postimg.cc/WbVKMHBJ/20220909-041714.jpg
Original post by Ellie Lemaine
I'm struggling to upload direct so I've used an image sharing site. This is how it appears in the text book https://i.postimg.cc/WbVKMHBJ/20220909-041714.jpg

Apologies for the late response.

E64A3596-54BE-4942-B4EB-D067F8DD0CF1.jpeg
Based on the information provided, we can work out these angles. With two lengths and an angle in the centre, you can use cosine rule.
Original post by SagaciousSag
Apologies for the late response.

E64A3596-54BE-4942-B4EB-D067F8DD0CF1.jpeg
Based on the information provided, we can work out these angles. With two lengths and an angle in the centre, you can use cosine rule.


Thank you for your help, I've finally found the right answer! Your response reminded me of co-interior angles, which really helped

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