Higher November 2019 Paper 5 Q9

OCRHigherCurrent spec6 marksConstructions

9

(a) The scale 1 cm represents 25 m can be written in the form \(1 : k\).

Find the value of \(k\). [1]

(b) The scale drawing represents a harbour.
Scale drawing of a harbour with points A, B, C, D and E joined by straight lines A to B, B to C, C to D and D to E. Scale: 1 cm represents 25 m

A boat leaves the harbour from point C and sails on a path that is equidistant from BC and CD.
The harbour rules do not allow boats to sail within 75 m of point E.

Find by construction whether the path of the boat will follow the harbour rules.
Show all your construction lines. [5]