繁塔是古城开封现存古老的建筑之一.某数学小组测量繁塔
的高度,如图,在A处用测角仪测得繁塔顶端D的仰角为
,沿
方向前进13m到达B处,又测得繁塔顶端D的仰角为
.已知测角仪的高度为1.5m,测量点A,B与繁塔
的底部C在同一水平线上,则繁塔
的高度为______ (结果精确到0.1m.参考数据:
,
,
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b398c95494eddc79939f16e66cf4da.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb226c755ff8ddecfa78380c208ebb3.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/d922e78c-6a0a-478d-9ebd-2ebe6d20d442.png?resizew=308)
2023·河南开封·一模 查看更多[2]
更新时间:2023-04-25 14:35:10
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【推荐1】小宸想利用测量知识测算湖中小山的高度.他站在湖边看台上,清晰地看到小山倒映在平静的湖水中,如图所示.他在点O处测得小山顶端的仰角为
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【推荐2】如图,湖的旁边有一建筑物
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的仰角为
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处,又测得点
的仰角为
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的高度约为___________ 米.(结果精确到1米,参考数据
)
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