河南洛阳栾川老君山集道教文化与自然景观于一身,素有“北国张家界”之称,景区内的老子铜像是目前世界上最高的老子铜像,九年级的李华同学想运用所学数学知识测铜像高度,假期期间,他与爸爸带着卷尺和自制测角仪(高度忽略不计)来到铜像前的广场,站在
点测得铜像头部
的仰角为
,继续沿远离铜像方向走
米到
处,测得铜像头部
的仰角为
,且
,
,
,
在同一平面内,求老子铜像
的高度(结果精确到
米,参考数据:
,
,
,
,
,
)
![](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/9208148631a75d8c0f889a5dafb70361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d601a8e9eafdb33760fed9eee1151267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b642864c0614bf5bce56bd47fe672e3.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c9bd07783c91b2e5f128d0335603e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c0de40a0e7ab026df4bd6560694aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7343c20696791a04ba412e87618e7bb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ebdc65710666e87899ab6926bb4604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1398d7cb36759c81cee10cb0aac0a68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f5f0efcccd2f6e5dbe3362f242d9d6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/17/68cfe25b-7dfd-42f2-9753-d5a9538bf7cd.png?resizew=336)
更新时间:2023-05-08 14:17:19
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【知识点】 仰角俯角问题(解直角三角形的应用)
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【推荐1】(2012河南20题)某宾馆为庆祝开业,在楼前悬挂了许多宣传条幅.如图所示,一条幅从楼顶
处放下,在楼前点
处拉直固定.小明为了测量此条幅的长度,他先在楼前
处测得楼顶
点的仰角为31°,再沿
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处,测得点
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到大厦的距离
米,
.请根据以上数据求条幅的长度.(结果保留整数.参考数据:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8221601c7bd5c51fd520615581fa1.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/24/30a74bd0-ea09-432d-905f-7aaf4d1f9fef.png?resizew=170)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】如图,小明为了测量学校旗杆
的高度,在地面离旗杆底部C处22米的A处放置高度为1.8米的测角仪
,测得旗杆顶端D的仰角为
.求旗杆的高度
.(结果精确到0.1米)【参考数据:
】
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b7bde83b97c3951c4762d537c8db21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69354e7c8715cecf54eed8e09bfc55bc.png)
![](https://img.xkw.com/dksih/QBM/2021/12/29/2882994983632896/2887025863516160/STEM/ac5bfa4b-d5ad-41ec-8c1d-ef9a3372c107.png?resizew=187)
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