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](/uploads/image/z/14240507-59-7.jpg?t=%E6%9C%89%E6%B2%A1%E6%9C%89%E7%89%A9%E7%90%86%E5%B8%9D%E5%8F%AF%E4%BB%A5%E8%A7%A3%E7%AD%94%E8%BF%99%E9%A2%98%21A+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 °