如图1是一种室外红外线测温仪,由三脚支架、角度调节架和测温仪构成.图2是其侧面结构示意图,量得测温仪的长
,角度调节架
,测温仪
且平行于地面,点
固定,点
可以转动,三脚支架的三只脚可以收缩且长度始终相等.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/5/6daf55e1-4116-4fd7-968f-4e9d593723c9.png?resizew=367)
(1)如图3,若将
按顺时针方向旋转
,求此时测温仪的仰角
的度数;
(2)为了保证测温仪支撑稳定,又能最有效地测量进入校园师生的体温,经测算,当测温仪的仰角
,从其侧面看,三脚支架的脚与地面的夹角为
,且点
到地面的距离为
时效果最佳.请你通过计算说明,此时三脚支架的脚
应调整到多长?(结果保留整数.参考数据:
,
,
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9018fd90522f3e6df4fbdf3c1b88d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d4bc1be051f904d4a6e06dc825395b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/5/6daf55e1-4116-4fd7-968f-4e9d593723c9.png?resizew=367)
(1)如图3,若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d786ee723231d4ca87eb9d011a378b5.png)
(2)为了保证测温仪支撑稳定,又能最有效地测量进入校园师生的体温,经测算,当测温仪的仰角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d64d81c526cd71d73f8f3d11f470bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb94bd9eb80fb9f5f02f518bb8f2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b97ed6f6b40be11ed493b6b92aeeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea2a2b255db6e9756bf0708aa1deab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d334ad224b85ce9655518cc522aeeed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38221d0533d59b1354605ff0c050254.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)
更新时间:2023-04-03 15:10:26
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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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