Final answer:
To determine the length of the shadow of the Statue of Liberty, we can use similar triangles and proportions. Plugging in the given values, the length of the shadow is 244 ft.
Step-by-step explanation:
In order to determine the length of the shadow of the Statue of Liberty, we need to use similar triangles and proportions. Let's assume that the height of the Statue of Liberty is 381.25 ft and the length of its shadow is x ft. Based on the given diagram, we can set up the following proportion:
{Height of Statue of Liberty}/{Length of shadow} = {Distance from flagpole to tip of shadow}/{Distance from flagpole to Statue of Liberty}
Plugging in the given values, we get:
{381.25}/{x} = {119}/{44}
Now, we can cross-multiply and solve for x:
119x = 44 imes 381.25
x = (44 imes 381.25)/119 = 140 ft
Therefore, the correct answer is option b. 244 ft.