(i)[3]
Show that the equation becomes $x^2 \tan \theta - 2 a x - a^2 = 0$.
(ii)[2]
If $\tan \theta = 1.25$, calculate the wire length in terms of $a$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
$ABC$ is an object formed from a uniform wire with two straight sections, $AB$ and $BC$, where $AB = a$, $BC = x$ and angle $ABC = 90^\circ$. If the object is hung freely from $A$ and is in equilibrium, the angle between $AB$ and the horizontal is $\theta$ (see diagram).
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Distance expression correctly given as $d = x \sin \frac{\theta}{2} - a \cos \theta$” …
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