Chapter 3: Q. 439 (page 411)

A baseball diamond is really a square with sides of $90$ feet. How far is it from home plate to second base, as shown?

Short Answer

Expert verified

The distance between home plate to second base is $127.3$ feet.

Step by step solution

Step 1. Given Information

Side of square shaped baseball diamond $= 90$ feet

We need to find the distance from home plate to second base.

Step 2. Finding the distance

Let the distance be $x$ .

From Pythagorean Theorem we get,

$x^{2} = {(90)}^{2} + {(90)}^{2} \Rightarrow x^{2} = 2 {(90)}^{2} \Rightarrow x^{2} = 2 (8100) \Rightarrow x = 90 \sqrt{2} \Rightarrow x \approx 127.3$

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A baseball diamond is really a square with sides of $90$ feet. How far is it from home plate to second base, as shown?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the distance

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A baseball diamond is really a square with sides of 90feet. How far is it from home plate to second base, as shown?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

A baseball diamond is really a square with sides of $90$ feet. How far is it from home plate to second base, as shown?