Question

1 point

There is a zombie apocalypse, and Rick and Daryll decide to go zombie
hunting. They begin by walking 100 yards north from their base then they
hear something to the right. They make a 90° turn to the right and walk
another 100 yards. How far are they from their starting point?

Answer 1

Rick and Daryll are approximately 141.42 yards from their starting point after walking 100 yards north and then 100 yards to the right, calculated using the Pythagorean theorem.

Step-by-step explanation:

The question involves finding the distance Rick and Daryll are from their starting point after moving 100 yards north and then making a 90° turn to the right, walking another 100 yards. To solve this, we can use the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Since Rick and Daryll's movements form a right angle, we can treat their paths as the legs of a right-angled triangle and the distance from their starting point as the hypotenuse. Therefore:

1. First leg: 100 yards north.
2. Second leg: 100 yards to the right.
3. Apply the Pythagorean theorem: (First leg)² + (Second leg)² = (Hypotenuse)²
4. Calculating the hypotenuse: 100² + 100² = 10,000 + 10,000 = 20,000
5. Take the square root of 20,000 to find the hypotenuse: √20,000 ≈ 141.42 yards.

Therefore, Rick and Daryll are approximately 141.42 yards from their starting point.

Answer 2

Answer: 100•square root of 2

Step-by-step explanation: When Rick and Daryll are walking in this pattern, they are creating a right triangle. So you can use the pythagorean theorem to find out what the missing side is (the distance from the start) which matches up with 100 times the square root of 2.