如图,某电视台大楼顶部安置了一电视发射铁塔CD,现有一位测试员
如图,某电视台大楼顶部安置了一电视发射铁塔CD,现有一位测试员分别在楼下相距16m的A,B两处测得D点和C点的仰角分别是45°和60°,已知A,B,E在一条直线上,C,D,E也在一条直线上,且BE=30m.求电视发射铁塔的高度.(结果保留整数,参考数据:≈1.41,≈1.73)
6解析:
∵AB=16,BE=30,∠DAE=45°,∴DE=AE=46.······················· (2分)
设CD=x,则CE=x+46.······························································· (3分)
在Rt△BCE中,tan60°=,即=.····································· (5分)
解得:x≈6