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WAEC Agricultural Science 1996 Question 19

Question 19

Farm Surveying and Planning

The diagram represents a chain measurement drawing of the school farmland having an obstruction at point C. Which of the following formulae can be used to calculate the distance CE in the diagram?

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

Answer: E (CE = √(CD² + DE²))

Explanation

Angle D is 90°, so by Pythagoras CE² = CD² + DE².