The roadway bridge over a canal is in the form of an arc of circle of radius what is the maximum car can cross the bridge with the ground at the highest point
To determine the maximum car that can cross the bridge with the ground at the highest point, we need to consider the height of the car and the clearance height of the bridge. The clearance height is the vertical distance between the highest point of the bridge and the ground.
To calculate the maximum car height, you need to know the radius of the circular arc bridge, as mentioned in the question. The radius is the distance from the center of the circle to the highest point of the bridge.
1. Measure the radius of the bridge: Use a measuring tape or any other measuring tool to determine the length from the center of the circle to the highest point on the bridge. Let's denote this radius as 'r'.
2. Calculate the maximum car height: Subtract the radius (r) from the clearance height of the bridge. The clearance height is the distance between the highest point of the bridge and the ground. Let's denote the maximum car height as 'h'.
h = Clearance height - r
Once you have calculated 'h', you will know the maximum car height that can cross the bridge without hitting the highest point.
It's important to note that these calculations assume the car is passing through the highest point of the circular arc bridge, and the car's shape does not exceed the clearance height when passing through that point.