Multiple choice

A kite of height 10 m is subtending an angle of 30$^o$ from a point located at some distance from the base of the tower. Find the length of the line of sight at kite top.

  1. $15$ m
  2. $20$ m
  3. $10$ m
  4. $12$ m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The kite is at height 10m. The line of sight forms a right triangle with the ground. sin(30) = height / hypotenuse. 1/2 = 10 / hypotenuse. Hypotenuse = 20m.

AI explanation

The question text contains an error, as a kite of height 10 m located 10 m from the observer cannot subtend a 30 degree angle at the ground. Using the correct trigonometric ratio for the top of the 10 m kite with the given angle of elevation, sin(30 degrees) = 10 / L. Since sin(30 degrees) is 1/2, we have 1/2 = 10 / L. Solving for the line of sight L gives L = 20 m.

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