A baseball
A baseball is hit over the 325 foot fence, which is 110 feet tall. How far did the ball carry on a straight line when it reached the fence?
Correct answer:
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Dr. Math
Determine how far the baseball traveled in a straight line when it reached the fence, we can model the situation using the Pythagorean theorem. Here's a step-by-step breakdown:
1. Understanding the Problem
Horizontal Distance (Base of the Triangle): The ball is hit over a fence that is 325 feet away from home plate.
Vertical Distance (Height of the Triangle): The fence is 110 feet tall.
Straight-line Distance (Hypotenuse of the Triangle): This is the distance we need to find, representing how far the ball traveled in a straight line to clear the fence.
2. Visualizing the Scenario
Imagine a right-angled triangle where:
One leg represents the horizontal distance from home plate to the fence (325 feet).
The other leg represents the vertical height of the fence (110 feet).
The hypotenuse represents the straight-line distance the ball traveled to reach the top of the fence
3. The result:
Therefore, the baseball traveled approximately 343.1 feet in a straight line to reach the top of the 325-foot distant and 110-foot tall fence.
1. Understanding the Problem
Horizontal Distance (Base of the Triangle): The ball is hit over a fence that is 325 feet away from home plate.
Vertical Distance (Height of the Triangle): The fence is 110 feet tall.
Straight-line Distance (Hypotenuse of the Triangle): This is the distance we need to find, representing how far the ball traveled in a straight line to clear the fence.
2. Visualizing the Scenario
Imagine a right-angled triangle where:
One leg represents the horizontal distance from home plate to the fence (325 feet).
The other leg represents the vertical height of the fence (110 feet).
The hypotenuse represents the straight-line distance the ball traveled to reach the top of the fence
3. The result:
Therefore, the baseball traveled approximately 343.1 feet in a straight line to reach the top of the 325-foot distant and 110-foot tall fence.
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