Question
Jack is 1.75 m tall and casts a shadow 2.25 m long. At the same time, a statue casts a shadow 9 m long. What is the height of the statue?
A.
11.6 m
B.
7 m
C.
5.75 m
D.
4 m
A.
11.6 m
B.
7 m
C.
5.75 m
D.
4 m
Answers
GPT 3.5
We can use proportions to solve this problem. Let x be the height of the statue.
Then, we can set up the proportion:
(1.75 m) / (2.25 m) = x / (9 m)
To solve for x, we can cross multiply and then solve for x:
(1.75 m)(9 m) = (2.25 m)(x)
15.75 m^2 = 2.25 m*x
Now, divide both sides by 2.25 m to solve for x:
15.75 m^2 / 2.25 m = x
7 m = x
Therefore, the height of the statue is 7 m.
The answer is (B) 7 m.
Then, we can set up the proportion:
(1.75 m) / (2.25 m) = x / (9 m)
To solve for x, we can cross multiply and then solve for x:
(1.75 m)(9 m) = (2.25 m)(x)
15.75 m^2 = 2.25 m*x
Now, divide both sides by 2.25 m to solve for x:
15.75 m^2 / 2.25 m = x
7 m = x
Therefore, the height of the statue is 7 m.
The answer is (B) 7 m.