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Real-Life Math

You are an equestrian who is going to be showing 1 horse and 1 pony at a regional jumping competition. A pony differs from a horse because of its small size. A pony's height is 62 inches or less.

Before a rider competes, they are allowed to walk through the set of jumps to figure out how they want to ride. Jumps are certain distances apart, and a rider has to calculate how many strides the horse should take between each fence. This decision depends on the distance between jumps and the size of the horse.

"You need to be able to figure out the size of a 20-metre [22-yard] circle or be able to judge distances between jumps," says equestrian Jack Polo.

  1. You know that your horse's stride at a trot is 5 feet. If you estimate your pony's stride is about 3/4 as long, what is the length of your pony's stride?
  2. Two jumps must be spaced 30 feet apart for a horse that is trotting to get 2 non-jumping strides in between the fences. The jumps must be 20 percent further apart for a horse to canter 2 non-jumping strides between the fences. What is the distance between the jumps for a horse that is cantering?

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