Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
A, B and C are points on flat ground. The bearing of $B$ from $A$ is $072^\f$. The bearing of $C$ from $A$ is $205^\f$. $AB = 170\text{ m}$ and $AC = 95\text{ m}$.
(a)[4]
Calculate the value of $BC$.
(b)[2]
Find the bearing from $C$ to $A$.
(c(i))[2]
Point $D$ is on the flat ground, directly south of $A$ and directly east of $C$. Show that $AD = 86.1\text{ m}$, correct to $1$ decimal place.
(c(ii))[4]
Point $X$ is at the top of a vertical mast at $A$. The angle of elevation of $X$ from $B$ is $7^\f$. Calculate the angle of elevation of $X$ from $D$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$245$” …