Question

（本題滿分6分）蓮城中學九年級數學興趣小組為測量校內旗桿高度，如圖，在C點測得旗桿頂端A的仰角為30°，向前走了6米到達D點，在D點測得旗桿頂端A的仰角為60°(測角器的高度不計).
⑴AD＝_______米;
⑵求旗桿AB的高度（）.

Answer 1

解：（1）設=，=··················1分
∴tan30° = ························ 2分
 =
解得：=3····························3分
=3
∴=6·····························4分
故答案為：6
（2）∵=3，=6
∴==3≈5.20米···················6分

略