Final answer:
Using a proportional relationship, the height of the statue is calculated to be 8.8 feet based on the provided measurements. The correct answer is option c.
Step-by-step explanation:
To find the height of the statue, we can use a proportion based on similar triangles. The ratio between the height of Jackson's friend and the length of his shadow will be the same as the ratio between the height of the statue and the length of its shadow. We set up the proportion as follows:
Friend's height / Friend's shadow length = Statue's height / Statue's shadow length
Plugging in the numbers, we have:
5.6 feet / 1.4 feet = Statue's height / 2.2 feet
Now, we solve for the statue's height:
Statue's height = (5.6 feet / 1.4 feet) × 2.2 feet
Statue's height = 4 × 2.2 feet
Statue's height = 8.8 feet
To find Jackson's shadow length, we use the same proportion:
Friend's height / Friend's shadow length = Jackson's height / Jackson's shadow length
5.6 feet / 1.4 feet = 5.8 feet / Jackson's shadow length
Now, we solve for Jackson's shadow length:
Jackson's shadow length = (5.8 feet × 1.4 feet) / 5.6 feet
Jackson's shadow length = 1.47 feet (rounded to two decimal places)
The correct option for the height of the statue is (c) 8.8 feet, and Jackson's shadow will be approximately 1.47 feet.