Mathematics 4024 · O Level · Right-angled triangles

Right-angled triangles — practice question

AB is vertical, whereas CB is horizontal. $AB = 31\text{ m}$ and $CB = 115\text{ m}$. J and K are two points out at sea. The lighthouse has its base at L. J lies due East of L, while K lies due South of L. $KL = 354\text{ m}$ and $KJ = 1100\text{ m}$.
(a)[3]

Calculate the angle of depression from $A$ to $C$.

(b(i))[2]

Calculate the size of $\angle LJK$.

(b(ii))[1]

Hence determine the bearing of $K$ from $J$.

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