Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The scale diagram indicates the locations of two boats $A$ and $B$. The scale used is $1 : 20000$.
(a)[2]

Determine the real distance between boat $A$ and boat $B$, in kilometres.

(b)[2]

Using only compasses and a straight edge, construct the locus of points that are equally distant from $A$ and $B$.

(c)[1]

A ship, $S$, is at the same distance from $A$ as from $B$. $S$ lies on a bearing of $105^\circ$ from $A$. Indicate and name the position of $S$ on the scale drawing.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Between $1.76$ and $1.84$

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