Hard
The angle of elevation of the top of a tower from a point on the ground 20 m away from its base is 30°. Find the height of the tower. (Use √3 = 1.73 where needed)
Explanation
Explanation
Let the height be h. In the right triangle formed, tan(30°) = height/distance = h/20. Since tan 30° = 1/√3, we get h = 20 × tan 30° ≈ 11.5 m.
PRO TIP
Re-check your working by substituting the answer back into the original question.