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WAEC Mathematics 2020 Question 24

Question 24

Trigonometry

In the diagram, XYZ is an equilateral triangle of side 6 cm and T is the midpoint of XY. Find tan (∠XZT).

Diagram for this question
  1. A.1/√3
  2. B.√3/2
  3. C.√3
  4. D.1/2
Show the answer and explanation

Answer: A (1/√3)

Explanation

ZT bisects the 60° angle at Z, so ∠XZT = 30° and tan 30° = 1/√3.