General Mathematics Paper 2, WASSCE (PC), 2017

QUESTION 10

Three dormitories D1, D2 and D3 are such that D1 and D3 are 60 m and 80 m from D2 respectively. The bearings of D1 and D3 from D2 are 315O and 060O respectively. A dining hall is located at a point, M, such that students of the three dormitories walk equal distance to the hall.

  1. Using ruler and a pair of compasses only and with a scale of 1 cm to 10 metres, illustrate by construction, the given information.
  2. Measure |D1D3|.
  3. Find the distance from M to D2.

Observation

 

The Chief Examiner observed that most Candidates’ avoided this question. They should have proceeded as follows:
                       

 

Then measure |D1D3| = (11.2  0.1) cm or (112  10) m and also |MD2| = (5.8  0.1) cm or (58  10) m.