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 $J$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct tangent setup” …