Step 1: Swing Set Repair

A swing set needs repair. The support bar that is at the middle of the A-frame is failing and must be replaced.

1. The legs of the frame SI and GI are each 5 ft long. If the crossbar WN intersects legs SI and GI at their midpoints, how far is point W from point S on the leg? Justify your answer and show all calculations.

To find the distance from point W to point S on the leg, we must first find the midpoint of the leg SI.

Given that the length of leg SI is 5 ft, the midpoint would be at a distance of 2.5 ft from point S along the leg.

Since the crossbar WN intersects leg SI at its midpoint, point W would also be 2.5 ft from point S on the leg. This is based on the properties of midpoints in geometry.

Therefore, the distance from point W to point S on the leg is 2.5 ft.