WAEC Mathematics 2012 Question 25

Question 25

Trigonometry

A kite flies on a taut string of length 50 m inclined at an angle of 54° to the horizontal ground. The height of the kite above the ground is

  1. A.50 tan 36°
  2. B.50 sin 54°
  3. C.50 tan 54°
  4. D.50 sin 36°
Show the answer and explanation

Answer: B (50 sin 54°)

Explanation

The string is the hypotenuse and the height is opposite the 54° angle: h = 50 sin 54°.