Mathematics 4024 · O Level · Right-angled triangles
Right-angled triangles — practice question
The diagram illustrates a vertical radio mast, $AB$. Three of the supporting wires are fixed to it at $F$, $H$ and $D$. The foot of the mast, $A$, and the far ends $E$, $G$ and $C$ of the wires lie on one straight line on horizontal ground.
(a)[2]
The wire $CD$ is $65\text{ m}$ long. It is attached to the mast at $D$, where $AD = 40\text{ m}$. Calculate $AC$.
(b)[2]
The wire $EF$ is $30\text{ m}$ long and it makes an angle of $25^{\circ}$ with the horizontal. Calculate $AF$.
(c)[3]
$AH = 35\text{ m}$. The wire $HG$ makes an angle of $30^{\circ}$ with the mast $AB$. Calculate $HG$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “51.2 ” …