Multiple choice

Two man standing on the opposite sides of a flagstaff measure the angle of elevation of the top of flagstaff as 300 and 600.If the height of the flagstaff is 20m.find the distance between the men.

  1. 46.18 m.

  2. 68.4 m

  3. 73 m

  4. 54 m.
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A Correct answer
Explanation

Using tan(30°) = 20/d1 and tan(60°) = 20/d2 where d1 and d2 are distances from each man to the flagstaff. Distance between men = d1 + d2. d1 = 20/0.577 = 34.64m, d2 = 20/1.732 = 11.55m. Total = 46.19m ≈ 46.18m (rounding).

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