Question
The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides.
Find the length of the missing side of the farmyard (round to two decimal places).
B. 17.00 ft
C. 27.00 ft
D. 32.15 ft
E. 46.77 ft
F. 60.37 ft
A. Joe is shorter than the teepee.
B. Joe is taller than the teepee.
C. Joe is the same height as the teepee.
D. There is not enough information to determine if Joe is shorter or taller than the teepee.
Find the length of the missing side of the farmyard (round to two decimal places).
B. 17.00 ft
C. 27.00 ft
D. 32.15 ft
E. 46.77 ft
F. 60.37 ft
A. Joe is shorter than the teepee.
B. Joe is taller than the teepee.
C. Joe is the same height as the teepee.
D. There is not enough information to determine if Joe is shorter or taller than the teepee.
Answers
GPT 3.5
To find the length of the missing side of the farmyard, we can use the Pythagorean theorem since the fence forms a right triangle.
Let's label the measurements given:
Side 1: 8.6 ft
Side 2: 15.2 ft
Using the Pythagorean theorem:
Missing side (x) = sqrt(8.6^2 + 15.2^2)
Missing side (x) = sqrt(73.96 + 231.04)
Missing side (x) = sqrt(305.00)
Missing side (x) = 17.46 ft
Rounded to two decimal places, the missing side of the farmyard is 17.46 ft, which is closest to option B, 17.00 ft.
Therefore, the correct answer is:
B. 17.00 ft
Let's label the measurements given:
Side 1: 8.6 ft
Side 2: 15.2 ft
Using the Pythagorean theorem:
Missing side (x) = sqrt(8.6^2 + 15.2^2)
Missing side (x) = sqrt(73.96 + 231.04)
Missing side (x) = sqrt(305.00)
Missing side (x) = 17.46 ft
Rounded to two decimal places, the missing side of the farmyard is 17.46 ft, which is closest to option B, 17.00 ft.
Therefore, the correct answer is:
B. 17.00 ft