You are going to a friend’s house to watch a movie. If you drive on Street C, the distance is 3 miles. You need to stop at the movie store on Street A. The store is 1 mile from your house. What is the distance you will drive on Street B from the movie store to your friend’s house?
3.16 miles
8 miles
1.41 miles
2.83 miles
You are going to a friend’s house to watch a movie. If you drive on Street C, the distance is 3 miles. You need to stop at the movie store on Street A. The store is 1 mile from your house. What is the distance you will drive on Street B from the movie store to your friend’s house?
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To find the distance you will drive on Street B from the movie store to your friend’s house, we can break down the distances based on the information provided.
1. You drive from your house to the movie store on Street A, which is 1 mile.
2. From the movie store, you will drive to your friend’s house on Street C, which is given as 3 miles.
To find out the distance you will drive on Street B, you can assume that Street B is the direct route from the movie store to your friend’s house, which we need to find.
Using the Pythagorean theorem, since the scenario involves a right triangle (with distances representing the legs of the triangle), we can calculate it as follows:
– Let ( a = 1 ) mile (to the movie store),
– Let ( c = 3 ) miles (to your friend’s house via Street C).
We need to find ( b ):
[
b^2 = c^2 – a^2
]
Substituting the values:
[
b^2 = 3^2 – 1^2
]
[
b^2 = 9 – 1
]
[
b^2 = 8
]
[
b = sqrt{8} approx 2.83 text{ miles}
]
Thus, the distance you will drive on Street B from the movie store to your friend’s house is approximately **2