Three students are sitting on a school bus. Leslie is 5.6 feet directly behind Sandra and 6.6 feet directly left of Dave. Leslie makes a paper airplane and throws it to Sandra. Sandra throws the airplane to Dave, who throws it back to Leslie. How far has the paper airplane traveled? If necessary, round to the nearest tenth.
feet
my answer is 18.1 feet
5.6^2 + 6.6^2 = x^2
31.36 + 43.56 = x^2
74.92 = x^2
8.6556 = x
5.6 + 6.6 + 8.7 = _______ feet
20.1
my answer is 21
Neither answer is correct.
https://www.google.com/search?source=hp&q=5.6+%2B+6.6+%2B+8.7+%3D&oq=5.6+%2B+6.6+%2B+8.7+%3D&gs_l=psy-ab.3...3543.3543.0.4418.1.1.0.0.0.0.127.127.0j1.1.0....0...1.1.64.psy-ab..0.0.0.xKClzce6CpM
yyes
To find out how far the paper airplane has traveled, we first need to determine the distances between Leslie and Sandra, Sandra and Dave, and Dave and Leslie.
Given that Leslie is 5.6 feet directly behind Sandra, we can assume they are in the same line of motion. This means that the distance between Leslie and Sandra can be measured as the straight-line distance between them. Let's call this distance "LS".
Since Leslie is 6.6 feet directly left of Dave, we can form a right-angled triangle by connecting Leslie, Dave, and a point directly below Sandra (forming a right angle). Let's call the distance between Sandra and Dave "SD", and the distance between Leslie and Dave "LD". We can use the Pythagorean theorem to find LD.
Using Pythagorean theorem: (LD)^2 = (SD)^2 + (LS)^2
Plugging in the values we have:
(LD)^2 = (6.6 ft)^2 + (5.6 ft)^2
Calculating:
(LD)^2 = 43.56 ft^2 + 31.36 ft^2
(LD)^2 = 74.92 ft^2
Taking the square root of both sides:
LD = √74.92 ft
LD ≈ 8.7 ft (rounded to the nearest tenth)
Now, we have the distances LS and LD. To find the total distance traveled by the paper airplane, we need to add LS, LD, and SD together:
Total distance = LS + LD + SD
Given that the airplane is thrown from Leslie to Sandra, from Sandra to Dave, and then back to Leslie, it has traveled between all three students. Therefore:
Total distance = LS + LD + SD
Total distance = 5.6 ft + 8.7 ft + SD
However, we don't have the exact value of SD given in the question. Without that information, we cannot determine the precise total distance traveled by the paper airplane.