From a coastguard station $O$, buoy $A$ is $7$ km away on a bearing of $040^\circ$, and buoy

Question

From a coastguard station $O$, buoy $A$ is $7$ km away on a bearing of $040^\circ$, and buoy $B$ is $12$ km away on a bearing of $130^\circ$. Find $\angle AOB$. Calculate $AB$, giving your answer correct to 3 significant figures.

Accepted Answer

(a) $90^\circ$; (b) $13.892$ km.

Sec 3/4 E Math T07-Q16 - Calculating a distance from bearings

Sec 3/4 E Math T07-Q16 - Calculating a distance from bearings

Solution:

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