塔吊又名“塔式起重机”,是建筑工地上最常用的一种起重设备.如图,小华在某建筑物的楼顶
处,测得附近建筑工地上塔吊顶端
的俯角为22°,然后又在地面
处,测得该塔吊顶端
的仰角为30°(其中
,
在同一铅垂线上),已知建筑物
的高度为59m,求塔吊
的高度(结果保留一位小数.参考数据:
,
,
,
)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/5fb3c229-3b4c-4cf4-b455-53d978be7b1enull?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ea3c7e6efd548ecc3baed26c8b6c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134b920d0b80633788ae8fae2029d60c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fe962af64f2c60c4a902b0e636f637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/77a4a782-c267-46d3-b6c5-fd31688c9086.png?resizew=184)
更新时间:2023-04-02 17:24:46
|
【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-问答题
|
适中
(0.65)
【推荐1】某森林保护区开展“搜寻古树名木,守护和谐家园”活动,如图,林区工作人员发现斜坡AB的坡顶B处的同一水平线上有一古树DC,为测量古树DC的高度,工作人员在坡脚A处测得斜坡AB的坡度i=1:2.4,古树顶端C的仰角为45°.他们沿着斜坡AB攀行了13米到达坡顶B,在B处测得古树顶端C的仰角为60°,求古树的高度DC.(结果保留根号)
![](https://img.xkw.com/dksih/QBM/2022/3/10/2933349537538048/2933887567347712/STEM/096b5d3811f34ec4a38bb03a5d7edecd.png?resizew=215)
您最近一年使用:0次
解答题-应用题
|
适中
(0.65)
【推荐2】如图所示,为了知道楼房
外墙上一广告屏的高度
是多少,某数学活动小组利用测角仪和米尺等工具进行如下操作:在A处测得
,在B处测得
,点A、B、C共线,
于点C,
于点F,
为20米,
米,根据测量数据,请求出
的值.(结果精确到
米,参考数据:
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e523b370ce090ba54cdd2736dd5bfee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a76ed1dd78a29e298a4938d44b4ee51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ffe9a5953942acf56c9c0611a0bd3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e39c25ea3e38b533d66b471ad73f502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c83b688911f105cffe00d6d54eea13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b517a427e371f90ced3cccce3abb26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589dfa98a450567b33b0f96b4c16d00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055ed3df1b9f8e8267f73e291e7e3356.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/ac7214c6-c2fb-42bf-80b3-3bd716c89c11.png?resizew=133)
您最近一年使用:0次