为进一步加强疫情防控工作,避免在测温过程中出现人员聚集现象,市区学校决定安装红外线体温检测仪,该设备通过探测人体红外辐射能量对进入测温区域的人员进行快速测温(如图1),其红外线探测点O可以在垂直于地面的支杆
上下调节(如图2),已知探测最大角(
)为
,探测最小角(
)为
,若学校要求测温区域的宽度
为2.80米,请你帮助学校确定该设备的安装高度
.(结果精确到0.1米,参考数据:
,
,
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c3ca226db5d490fa92bb1b7c8deb14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f7c3830986ef917b724fb195e60971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a037c23a11c7783b1b44988c21634f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99483f83b7ea10579ef4e29899ea901b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a62feb9f424b1d168f01ea0784cb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843e7d6134299ea6ca84fd7cf0338936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b8540fa869262a9bf46ebba3d26baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0796cc412a4844d824204ad912c00d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2486f5b5dca85aeeeb1c05baea5809c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a294e6405393e2cd6f0ecd55a6c9757.png)
更新时间:2024-05-11 20:58:07
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【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
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适中
(0.65)
【推荐1】数学兴趣小组到一公园测量塔楼高度.如图所示,塔楼剖面和台阶的剖面在同一平面,在台阶底部点A处测得塔楼顶端点E的仰角
,台阶
长26米,台阶坡面
的坡度
,然后在点B处测得塔楼顶端点E的仰角
,则
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/4f2bf5d6-2c4f-4aaf-8607-7fc4e3fa8f26.png?resizew=197)
(1)点B到
的距离为多少米?
(2)塔顶到地面的高度
约为多少米?
(参考数据:
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8e0a138ce5b7f968e5198cacddb02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4dd80daefa23a61d300a829f77bbfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99caefaa3c956ae92d5f738aaced82ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/4f2bf5d6-2c4f-4aaf-8607-7fc4e3fa8f26.png?resizew=197)
(1)点B到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
(2)塔顶到地面的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccdab89f13b83f1dfa7b881b2b22420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3488411113fa3042d5f6c69e83c459e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d2263cd2b25859951ea2eee007c06f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcc7cf3e7b616e57e1e351eb39f3279.png)
您最近一年使用:0次
解答题-应用题
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适中
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【推荐2】某中学九(1)班的同学小章和小南在校园的操场边看见一棵特别高的黄果树,他们准备测量这棵黄果树的高度.如图,小章在点A处观测到黄果树的最高点P的仰角为
,再沿正对黄果树的方向前进
至点B处测得最高点P的仰角为
,小南先在点C处竖立一根长为
的标杆
,再后退至使其眼睛所在的位置点D、标杆顶F、最高点P在一条直线上,此时测得最高点P的仰角为
,已知两人的眼睛距离地面的高度均为
(即
).
(1)求黄果树
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
(2)测量结束时小章站在点E处,小南站在原测量点,两人约在树下点Q处见面,小章步行的速度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a142aac346a0ed19713d0d9cc79566.png)
您最近一年使用:0次
解答题-问答题
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【推荐3】每年春季彩灯工艺师为汾河景区“中华第一龙”换装.查阅资料可知,“巨龙”长126米,龙身最大跨度为20米,最大直径为2.7米.课外实践小组对这条“巨龙”的龙头头顶
离地面的高度(
)产生了兴趣.决定运用所学知识求出它的高度.由于“巨龙”在河中,同学们只能在人行道上进行测量.下面是他们测量的过程:在
点处测得龙头头顶
的仰角为
,沿着人行道直行63米到达点
处.测得
,
.已知
,
,
三点在同一水平面内,测角仪距该平面的高度忽略不计.请根据以上数据求龙头头顶
离地面的高度
.(结果精确到0.1米,下参考数据:
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/6660718078b93a4b14fde0a83970758c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ec435aa1401dbce7863b531bf2f3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc849980579cd8b0560d76ba78331ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c2d2db1fa8a6c703c6edecfa038d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e47e722487ac9e321836d41303819a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59edc04822a09c8aacb12f7641c36376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
![](https://img.xkw.com/dksih/QBM/2021/5/19/2724362082861056/2725244022112256/STEM/67abf0d8-6f51-4b95-9c52-5acfec77b40d.png)
您最近一年使用:0次