JAMB Mathematics 2001 Question 32

Question 32

Trigonometry

Find the value of θ in the diagram above.

Diagram for this question
  1. A.30°
  2. B.60°
  3. C.100°
  4. D.120°
Show the answer and explanation

Answer: D (120°)

Explanation

The triangle has two sides l and base √3 l. Half the base is (√3/2)l, so each base angle has cosine √3/2 and is 30°. Then θ = 180° − 60° = 120°.