2022年2月4日晚,当我国运动员迪妮格尔·衣拉木江和赵嘉文将最后一棒火炬嵌入主火炬“大雪花”中央时,第24届北京冬奥会向世界展示了低碳环保的“点火”仪式,小华有幸在现场目睹这一过程,在“大雪花”竖直升起的某一刻,从小华的位置(点O)观测“大雪花”的顶部A的仰角
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmtext%3E%CE%B1%3C%2Fmtext%3E%3C%2Fmath%3E)
为12.8°,底部B的俯角β为15.3°,已知“大雪花”高AB约14.89 m,求小华的位置离“大雪花”的水平距离OC.(结果精确到0.1 m,参考数据: tan12.8°
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%E2%89%88%3C%2Fmo%3E%3C%2Fmath%3E)
0.23,sin12.8°
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%E2%89%88%3C%2Fmo%3E%3C%2Fmath%3E)
0.22,tan15.3°
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%E2%89%88%3C%2Fmo%3E%3C%2Fmath%3E)
0.27,sin15.3°
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%E2%89%88%3C%2Fmo%3E%3C%2Fmath%3E)
0.26)
![](http://tikupic.21cnjy.com/2022/06/02/3e/fd/3efda5a1064fb3e2b9e216187f69dcd1_438x168.png)