A truck full of goods is 2.5m in height and 1.6m in width. The upper part of a factory door is semicircle (2m in diameter) and the lower part is rectangle (2.3m in height and 2m in width)

A truck full of goods is 2.5m in height and 1.6m in width. The upper part of a factory door is semicircle (2m in diameter) and the lower part is rectangle (2.3m in height and 2m in width)

The equation of circle is x ^ 2 + y ^ 2 = 1, when x = 0.8, y = 0.6
2.3+0.6=2.9>2.5
So I can pass

A truck is 3m in height and 2.5m in width. The upper part of a factory gate is semicircle (2m in diameter) and the lower part is rectangle (2.4m in height and 3M in width). Ask if the truck can pass

Can pass

The semicircle with a diameter of 2m in the upper part of the bridge opening and a rectangle with a height of 2.3m in the lower part will be changed into a two-way road, and trucks with a width of 1.2m and a height of 2.8m will pass through
How many meters is the width of the bridge hole at least

The height of the car is 2.8, the width of the car is 1.2, and the height of the rectangle is 2.3. Therefore, the distance between the point 1.2m away from the center of the circle on the semicircle diameter and the arc directly above must be at least 0.5 for the car to pass. At this time, the radius R ^ 2 = 1.2 ^ 2 + 0.5 ^ 2 = 1.3 ^ 2, so r = 1.3, so the width of the bridge opening should be increased to at least 2.1.3 = 2.6m