A 5.75-ft tall man is photographed next to a 13-ft tall statue. If the man measures 3 cm tall in the picture, how tall is the statue in the picture?

4.07 cm

5.42 cm

8.14 cm

6.78 cm

We can set up a proportion to solve this problem. Let x be the height of the statue in the picture.

Using the information given, we can set up the following proportion:

(5.75 ft / 13 ft) = (3 cm / x)

To solve for x, we can cross-multiply and solve for x:

5.75 ft * x = 13 ft * 3 cm

5.75 ft * x = 39 ft * cm

Dividing both sides by 5.75 ft:

x = (39 ft * cm) / 5.75 ft

x ≈ 6.78 cm

Therefore, the height of the statue in the picture is approximately 6.78 cm.