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JAMB Mathematics 1980 Question 10

Question 10

Trigonometry

If PN is perpendicular to QR, find the value of tan x

Diagram for this question
  1. A.5/9
  2. B.3/5
  3. C.3/4
  4. D.4/3
  5. E.5/3.
Show the answer and explanation

Answer: B (3/5)

Explanation

In triangle PQN, QN = √(5² − 3²) = 4cm, so NR = 9 − 4 = 5cm. tan x = PN/NR = 3/5.