The ropes of a swing are 4 metres long, and the seat is 30 cm above the ground when it s t its lowest point. When Roberta uses the swing, the weat reaches a height of 2 metres above the ground on each side of the vertical. Calculate the angle APB through which she swings.
The picture of the swinging looks kind of like an upside down ice cream cone. The ropes are attached at P (the pointy end of the cone) and she swings the rope from A to B. The rounded part-of-a-circle part at the bottom is her path, and is the arc I have to find the angle for.
I've drawn lines from A to B and from P down to the ground. I've labelled where the vertical line crosses AB as X and where it reaches the arc as Y. I know that XY has to be 2 - 0.3 = 1.7, so PX has to be 4 - 1.7 = 2.3. Also, they gave me that AP = BP = 4.