Answer:
x = 6 m
Explanation:
Given a diagram showing a semicircle atop a rectangle that is 8 m wide, you want to know the height of the rectangle when the overall height of the figure is 10 m.
Semicircle
All points on a circle are the same distance from its center. The center of a semicircle is the midpoint of its straight side. Here, the diameter of the semicircle is shown as 8 m, so the midpoint will be 4 m from either side.
The top point of the semicircle will be 4 m from the center on the top edge of the rectangle.
Since the overall height is 10 m, the rectangle must be 10 -4 = 6 meters high.
The value of x is 6 m.