Alicia is 5ft tall. she casts a shadow that measures 6 1/2 feet long at the same time that a sculpture in the park casts a shadow 12 ft long. which of the following is the approximate height of the sculpture?
a) 2.0 miles
b) 6.6 miles
c) 12 miles
d) 15.6 miles
set up the ratio ...
h/12 = 5/6.5
h = 12(5/6.5) = ....
The answers you supplied cannot possibly be the correct choices.
The correct answer would be 9.23 feet
To solve this problem, we can set up a proportion using Alicia's height and her shadow length, compared to the height of the sculpture and its shadow length. The proportion can be set up like this:
Alicia's height / Alicia's shadow length = Sculpture's height / Sculpture's shadow length
Given that Alicia's height is 5 ft and her shadow length is 6 1/2 ft, and the sculpture's shadow length is 12 ft, we can plug these values into the proportion:
5 ft / 6 1/2 ft = Sculpture's height / 12 ft
To solve for the sculpture's height, we can multiply both sides of the equation by 12 ft:
(5 ft / 6 1/2 ft) * 12 ft = Sculpture's height
Now, we can simplify the equation:
(5/1) * (12/6.5) ft = Sculpture's height
60/6.5 ft = Sculpture's height
Approximately, the sculpture's height is 9.23 ft.
Therefore, the answer is not listed among the options provided.
To find the approximate height of the sculpture, we can set up a proportion using the heights and the lengths of the shadows.
Let's call the height of the sculpture "x" and its shadow length "12 ft". We can set up the proportion:
5 ft (Alicia's height) / 6.5 ft (Alicia's shadow length) = x ft (sculpture's height) / 12 ft (sculpture's shadow length)
To solve for x, we can cross-multiply:
5 ft * 12 ft = 6.5 ft * x ft
60 ft = 6.5 ft * x ft
divide both sides by 6.5 ft:
60 ft / 6.5 ft = x ft
x ≈ 9.23 ft
Therefore, the approximate height of the sculpture is 9.23 ft.
Since none of the options provided match the height in feet, we cannot determine the height of the sculpture in miles from the given options.