Multiple choice

After covering a distance of $10$ meters from the flagpole, Mike lies on the ground, and measures an angle of ${70}^{o}$ from the ground to the base of the ball at the top of the flagpole. Find the approximate height of the flagpole from the ground to the base of the ball at the top of the flagpole.

  1. $3m$
  2. $9m$
  3. $27m$
  4. $29m$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Height = Distance * tan(angle). Height = 10 * tan(70 degrees). tan(70) is approx 2.747. Height = 10 * 2.747 = 27.47m, which is approximately 27m.

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