# Bridge Over...Semicircle

Geometry Level 1

There is a semi-circular object on a road and a strong metal plate is put on it, as shown in the above diagram, so that cars can better pass over it. If the radius of the object is $$28$$ inches and the angle between the plate and the road is $$30^\circ,$$ what is the distance (in inches) between the point the plate meets the road and the point the plate touches the semi-circular object?

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