有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h

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有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h

有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h
有没有物理帝可以解答这题!
A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the horizontal?

有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h
这个题目翻译过来应该是：如果一条路在每水平方向上延伸100英尺,该路在垂直方向上上升1英尺,我们就称这条路有1/100的坡度.如果有一条山路的坡度为9/100,那么这条路相对于地平面向上倾斜的角度是多少?
通过题目的前半部分对坡度的解释,坡度实际上就是路在垂直方向上的高度/水平方向上的长度.这就是我们熟知的斜率问题.坡度（或者斜率）的大小为路与地平面之间的夹角θ的正切值.
所以有：tanθ=9/100.则 θ=arctan9/100= 5.1428 °
所以这条路相对地平面倾斜的角度为 5.1428 °

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