Three ballet dancers are positioned on stage. Rosanne is straight behind Chandler and directly left of Tristan. If Chandler and Rosanne are 3 feet apart, and Tristan and Chandler are 7 feet apart, what is the distance between Rosanne and Tristan? If necessary, round to the nearest tenth.
First, let's rephrase the problem to make it easier to understand. Suppose we have three ballet dancers: Rosanne, Chandler, and Tristan. Rosanne is standing straight behind Chandler, meaning she is directly behind him. Additionally, Rosanne is positioned directly to the left of Tristan. Let's assign the following variables to represent the distance between each pair of dancers:
- The distance between Chandler and Rosanne: CR
- The distance between Chandler and Tristan: CT
- The distance between Rosanne and Tristan: RT
From the problem, we know the following information:
- Chandler and Rosanne are 3 feet apart, so CR = 3 feet.
- Tristan and Chandler are 7 feet apart, so CT = 7 feet.
Our goal is to find RT.
Let's use the information given to figure out the relationship between RT, CT, and CR. Since Chandler is positioned between Rosanne and Tristan and they form a straight line, we can conclude that RT = CR + CT.
Now let's substitute the known values:
RT = 3 feet + 7 feet
RT = 10 feet
Therefore, the distance between Rosanne and Tristan is 10 feet.