如图是某路段路灯的示意图,灯杆
长
,灯柱
与灯杆
的夹角为
.为节能环保并提高路灯的照明效果,路灯采用锥形灯罩,在地面上的照射区域
的长为
,从D,E两处测得路灯A的仰角分别为
和
,求灯柱
的长度(参考数据:
,
,
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487a24c8024e872a9800c32049af261c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604ff29fc60e2937b8274d03c75654bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5b696c0ca68ec19b9127c1675051f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4495c5cdf6591c91e73436ce69f1288e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9541366f8c9d1318f7eb28ba4d26400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184ed2638ccea1e74b28ac1226ab6933.png)
2024·安徽合肥·二模 查看更多[1]
更新时间:2024-05-11 07:25:23
|
【知识点】 仰角俯角问题(解直角三角形的应用)
相似题推荐
解答题-应用题
|
适中
(0.65)
【推荐1】如图,在路边安装路灯,灯柱
高
,与灯杆
的夹角
为
.路灯采用锥形灯罩,照射范围
长为
,从
、
两处测得路灯
的仰角分别为
,
(参考数据:
,
.求:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/cc3da8f0-c5f0-4001-aeb9-32961d241956.png?resizew=136)
(1)路灯A离地面的高度(即点A到地面
的距离);
(2)灯杆
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e6e41ac221847824a72e964f340f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120a3632a7521a72cadd2d7d299bc41e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f0cd1f6b8a1a952e502bbabea8358f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd32d2db65c6c30f0981cf6b21ab94bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5082b702cecf87325e3e3f75c74c3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c122cc5cb2fa869fdeb735f6bb5578.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/cc3da8f0-c5f0-4001-aeb9-32961d241956.png?resizew=136)
(1)路灯A离地面的高度(即点A到地面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(2)灯杆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图,旗杆及升旗台的剖面和教学楼的剖面在同一平面上,旗杆与地面垂直,在教学楼底部E点处测得旗杆顶端的仰角∠AED=58°,升旗台底部到教学楼底部的距离DE=7米,升旗台坡面CD的坡度i=1:0.75,坡长CD=2米,若旗杆底部到坡面CD的水平距离BC=1米,求旗杆AB的高度约为多少?(保留一位小数,参考数据:sin58°≈0.85,cos58°≈0.53,tan58°≈1.6)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/5cf66dfb-0632-47b0-8fd0-2ef2732a6437.png?resizew=154)
您最近一年使用:0次