From a coastguard station $O$, buoy $A$ is $7$ km away on a bearing of $055^\circ$, and buoy

Question

From a coastguard station $O$, buoy $A$ is $7$ km away on a bearing of $055^\circ$, and buoy $B$ is $13$ km away on a bearing of $130^\circ$. Find $\angle AOB$. Calculate $AB$, giving your answer correct to 3 significant figures.

Accepted Answer

(a) $75^\circ$; (b) $13.073$ km.

Sec 3/4 E Math Mock 2-Q06 - Mock Paper 2: Calculating a distance from bearings

Sec 3/4 E Math Mock 2-Q06 - Mock Paper 2: Calculating a distance from bearings

Solution:

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