Mathematics 4024 · O Level · Non-right-angled triangles

Non-right-angled triangles — practice question

(a)[1]

Find the bearing from $B$ to $A$.

(b)[4]

Calculate the length of $BC$.

(c)[5]

Boat $B$ departs from port $B$ at $10.00\,\text{am}$ and travels directly to port $A$ at an average speed of $48\,\text{km h}^{-1}$. Boat $C$ sets off from port $C$ at $10.15\,\text{am}$, heads straight to port $A$, and gets there $7$ minutes before boat $B$. Find the average speed of boat $C$ in $\text{km h}^{-1}$.

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