To solve this problem, we can use the Pythagorean theorem, which states that in a right 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. This can be written as: a² + b² = c².

Here, the distance you drove east can be one side of the triangle (a = 14 miles), and the distance you drove north can be the second side of the triangle (b = 6 miles). We want to find the hypotenuse (c), which represents the straight line distance from your starting point.

First, square the lengths of the two sides:

a² = 14² = 196
b² = 6² = 36

Then, add these two values together:

a² + b² = 196 + 36 = 232

Finally, take the square root of this sum to find the length of the hypotenuse:

c = √232 ≈ 15.2

So, your straight line distance from your starting point is approximately 15.2 miles, rounded to the nearest tenth of a mile.

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To solve this problem, we can use the Pythagorean theorem, which states that in a right 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. This can be written as: a² + b² = c².

Here, the distance you drove east can be one side of the triangle (a = 14 miles), and the distance you drove north can be the second side of the triangle (b = 6 miles). We want to find the hypotenuse (c), which represents the straight line distance from your starting point.

First, square the lengths of the two sides:

a² = 14² = 196
b² = 6² = 36

Then, add these two values together:

a² + b² = 196 + 36 = 232

Finally, take the square root of this sum to find the length of the hypotenuse:

c = √232 ≈ 15.2

So, your straight line distance from your starting point is approximately 15.2 miles, rounded to the nearest tenth of a mile.

Knowee AI · Accepted Answer

To solve this problem, we can use the Pythagorean theorem, which states that in a right 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. This can be written as: a² + b² = c².

Here, the distance you drove east can be one side of the triangle (a = 14 miles), and the distance you drove north can be the second side of the triangle (b = 6 miles). We want to find the hypotenuse (c), which represents the straight line distance from your starting point.

First, square the lengths of the two sides:

a² = 14² = 196
b² = 6² = 36

Then, add these two values together:

a² + b² = 196 + 36 = 232

Finally, take the square root of this sum to find the length of the hypotenuse:

c = √232 ≈ 15.2

So, your straight line distance from your starting point is approximately 15.2 miles, rounded to the nearest tenth of a mile.

You start driving east for 14 miles, turn left, and drive north for another 6 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

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