Three people are sitting on a bus. Charlie is seated 7.2 feet directly behind Alvin and 6.7 feet directly left of Kurt. How far is Alvin from Kurt? If necessary, round to the nearest tenth.
feet
What is the distance between Alvin and Kurt on the bus?
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To find the distance between Alvin and Kurt, we can visualize the positions of the three people in a right triangle.
1. Charlie is 7.2 feet behind Alvin, which gives us the vertical distance.
2. Charlie is also 6.7 feet to the left of Kurt, giving us the horizontal distance.
Now we can use the Pythagorean theorem to find the distance ( d ) between Alvin and Kurt:
[
d = sqrt{(7.2)^2 + (6.7)^2}
]
Calculating this:
[
d = sqrt{51.84 + 44.89} = sqrt{96.73} approx 9.8 text{ feet}
]
Therefore, the distance between Alvin and Kurt is approximately 9.8 feet when rounded to the nearest tenth.