To find: How far is the pitcher from the third base.
46 ft
Given information: A softball diamond is a square that is 65 ft on a side. Also, the pitcher’s mound is 46 ft from home plate.
Concept used:
Consider a
Then, according to law of cosine
Calculation:
Since diamond is a square, the distance from the home base to the pitcher’s mound lies on the diagonal of the square. Also, it will be an angle bisector of the corner.
Below mentioned diagram is the diagrammatic representation of the given question such that
Now, apply the Cosine’s rule in the above diagram and solve for
Hence, the required value is 46 ft.
Chapter 14 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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