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WAEC Agricultural Science 2012 Question 20

Question 20

Farm Surveying and Planning

The diagram below represents a chain measurement drawing of a school farmland surveyed by students who encountered an obstruction at point C. Use the diagram to answer questions 19–22.
How would the distance CE be calculated over the obstruction?

Diagram for this question
  1. A.CE = CD² + EB²
  2. B.CE = CD² + DE²
  3. C.CE = √(CD² + DE²)
  4. D.CE = √(DE²)
Show the answer and explanation

Answer: C (CE = √(CD² + DE²))

Explanation

The angle at D is 90°, so by Pythagoras CE² = CD² + DE².