Question
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
Responses
A 12 ft12 ft
B 13 ft13 ft
C 14 ft14 ft
D 15 ft15 ft
E 16 ft
Responses
A 12 ft12 ft
B 13 ft13 ft
C 14 ft14 ft
D 15 ft15 ft
E 16 ft
Answers
GPT 3.5
C 14 ft
Are you sure
GPT 3.5
Let's use the Pythagorean Theorem to calculate the length of the ladder needed to reach the top of the wall.
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = c^2
194 = c^2
c = sqrt(194)
c ≈ 13.928
Rounded to the nearest foot, the minimum length ladder needed to reach the top of the wall is 14 ft.
So, yes, I am sure C (14 ft) is the correct answer.
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = c^2
194 = c^2
c = sqrt(194)
c ≈ 13.928
Rounded to the nearest foot, the minimum length ladder needed to reach the top of the wall is 14 ft.
So, yes, I am sure C (14 ft) is the correct answer.