Many younger children like to play a game similar to baseball called tee-ball. To accommodate the younger children, the bases are only 40 feet apart in a square-shaped field. Find the distance between home plate and second base in tee-ball. If necessary, round your answer to the nearest tenth.
With home,first and second you have a right triangle, legs = 40
Hypotenuse=sqrt(40^2+40^2)
In order to find the distance between home plate and second base in tee-ball, we need to use the formula for the length of a diagonal in a square. The formula is d = √(s^2 + s^2), where d represents the length of the diagonal and s represents the length of one side of the square.
In this case, the length of one side of the square is given as 40 feet. Let's substitute this value into the formula:
d = √(40^2 + 40^2)
Now, we can simplify this equation:
d = √(1600 + 1600)
d = √(3200)
To find the square root of 3200, we can use a calculator. The square root of 3200 is approximately 56.57 (rounded to the nearest hundredth).
Therefore, the distance between home plate and second base in tee-ball is approximately 56.57 feet when rounded to the nearest tenth.