The baseball diamond at a playground is a square with sides that measure 90 feet, About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth
A 127.3 feet
B 180 feet
C 90 feet
D 16,200 feet

Respuesta :

Answer:

A straight line from home plate to second base would have distance:

D = sqrt(2 x 90^2) = 127.3 feet

=> Option A is correct

Hope this helps!

:)

The distance from the home plate to second base in a straight line is required.

The required distance is option A 127.3 feet.

Square

A baseball field is in the shape of a square this means that all corners have the angle [tex]90^{\circ}[/tex]

So, two sides of the square can act as legs of a right triangle and the diagonal can act as the hypotenuse.

A straight line between the home plate and second base would be the diagonal of the square.

The length of each side of the square is 90 feet.

Applying the Pythagoras theorem

[tex]d=\sqrt{90^2+90^2}\\\Rightarrow d=90\sqrt{2}\\\Rightarrow d=127.279\approx 127.3\ \text{feet}[/tex]

Learn more about squares:

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