WAEC Mathematics 2013 Question 16

Question 16

Trigonometry

In the diagram, the height of a flagpole (TF) and the length of its shadow (FL) are in the ratio 6:8. Using K as a constant of proportionality, find the shortest distance between T and L.

Diagram for this question
  1. A.7K units
  2. B.10K units
  3. C.12K units
  4. D.14K units
Show the answer and explanation

Answer: B (10K units)

Explanation

TF = 6K and FL = 8K with a right angle at F. TL = √(36K2 + 64K2) = 10K.