Ryans limo drove 24 miles east and then drove 50 miles south How far is the limo from where he started round to nearest tenth
a^2 + b^2 = c^2
24^2 + 50^2 = c^2
576 + 2500 = c^2
3076 = c^2
55.5 = c
To find out how far the limo is from where it started, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the longest side) of a right-angled triangle is equal to the sum of the squares of the other two sides.
In this case, the distance the limo drove east can be considered as the length of one side of the triangle, and the distance the limo drove south can be considered the length of the other side.
Let's create a diagram to visualize the situation:
50 miles (south)
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| ? (distance from starting point)
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24 miles (east)
Since we have a right-angled triangle, we can use the Pythagorean theorem to find the length of the hypotenuse:
hypotenuse² = (length of one side)² + (length of the other side)²
hypotenuse² = 24² + 50²
hypotenuse² = 576 + 2500
hypotenuse² = 3076
Now, we take the square root of both sides to find the length of the hypotenuse:
hypotenuse = √3076
Calculating the square root, we find:
hypotenuse ≈ 55.50
Therefore, the limo is approximately 55.50 miles from where it started, rounded to the nearest tenth.