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Please help

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A softball field is a square with sides of length 60 feet. What is the shortest distance between first base and third base?

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A.)
√(60) ft.

B.)
60 ft.

C.)
√(360) ft.

D.)
√(7200) ft.

Please help - A softball field is a square with sides of length 60 feet. What is the-example-1
User AESTHETICS
by
2.7k points

2 Answers

14 votes
14 votes

Answer:

D. 7200

Explanation:

User Maxbc
by
2.6k points
26 votes
26 votes

Statement:

A softball field is a square with sides of length 60 feet.

To find out:

The shortest distance between the first base and third base, i.e., the displacement

Solution:

  • Let us consider 1st base as A, Home Plate as B and 3rd base as C.
  • AB = 60 ft
  • BC = 60 ft.
  • To find out the shortest distance between the first base and third base we have to find out the value of AC.
  • In right triangle ABC,
  • (AB)² + (BC)² = (AC)² [By Pythagoras Theorem]
  • or, (AC)² = (60 ft)² + (60 ft)²
  • or, (AC)² = 3600 ft² + 3600 ft²
  • or, (AC)² = 7200 ft²
  • or, AC = √7200 ft
  • So, the shortest distance will be √7200 ft.

Answer:

D. √7200 ft

Hope you could understand.

If you have any query, feel free to ask.

User Digaomatias
by
2.9k points