A rectangular park that measures 40 yards x 80 yards will have a diagonal pass bill. How long will the diagonal pass be round your answer to the nearest 10th
To find the length of the diagonal pass, we can use the Pythagorean theorem.
According to the theorem, the square of the length of the diagonal (d) is equal to the sum of the squares of the lengths of the two sides of the rectangle (a and b).
So, d^2 = a^2 + b^2
Plugging in the given values:
d^2 = 40^2 + 80^2
d^2 = 1600 + 6400
d^2 = 8000
To find the length of the diagonal, we take the square root of both sides:
d = √8000
Using a calculator, we get:
d ≈ 89.44 yards
Rounding to the nearest tenth, the length of the diagonal pass will be approximately 89.4 yards.