A hungry bunny rabbit hops 20 meters north and then turns and hops 8 meters west in search of tasty flowers to eat.
Answer: 464
Show some work: Since the directions do matter we can use the Pythagorean theorem.
Let's represent the northward distance as "a" and the westward distance as "b".
According to the problem, a = 20 meters (north) and b = 8 meters (west).
We can use the Pythagorean theorem, which states that the square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides (a^2 + b^2).
Applying the theorem:
c^2 = a^2 + b^2
c^2 = (20)^2 + (8)^2
c^2 = 400 + 64
c^2 = 464
Taking the square root of both sides to find the hypotenuse:
c = √464
c ≈ 21.54
Therefore, the bunny rabbit traveled approximately 21.54 meters in total.
To find the total distance traveled by the bunny rabbit, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the bunny rabbit hopped 20 meters north and 8 meters west, forming a right triangle. The northward hop is equivalent to the length of one side of the triangle (let's call it side A), and the westward hop is equivalent to another side of the triangle (let's call it side B).
Therefore, we have:
Side A = 20 meters
Side B = 8 meters
Using the Pythagorean theorem, we can find the length of the hypotenuse (side C):
C^2 = A^2 + B^2
C^2 = 20^2 + 8^2
C^2 = 400 + 64
C^2 = 464
To solve for C, we take the square root of both sides:
C = √464
Calculating the square root of 464 (using a calculator or math software) gives us:
C ≈ 21.54
Therefore, the total distance traveled by the bunny rabbit is approximately 21.54 meters.
To find the total distance the bunny rabbit hopped, we need to use the Pythagorean theorem. According to the problem, the bunny first hopped 20 meters north and then turned 90 degrees to hop 8 meters west.
We can imagine this as a right-angled triangle, with one side measuring 20 meters (north) and the other side measuring 8 meters (west). The hypotenuse of this triangle represents the total distance the bunny hopped.
Using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can calculate the total distance:
Hypotenuse^2 = 20^2 + 8^2
Hypotenuse^2 = 400 + 64
Hypotenuse^2 = 464
Taking the square root of both sides, we can determine the length of the hypotenuse:
Hypotenuse = √464
Hypotenuse ≈ 21.54
Therefore, the total distance the bunny rabbit hopped is approximately 21.54 meters.