Final answer:
Using the proportional relationship between the height of the mast and its shadow, and Justin's height and his shadow, you can calculate that Justin is 6 feet tall.
Step-by-step explanation:
To determine how tall Justin is, you can use the information provided about the mast and its shadow, and set up a proportion since the heights and shadows form similar triangles (assuming the light causing the shadows is coming from the same angle). The proportion will compare the height of the mast to its shadow and Justin to his shadow.
The mast's height-to-shadow ratio is 24 feet to 10 feet. Justin's shadow is 2.5 feet long. So, if the mast's height and shadow form the ratio 24/10, we can find Justin's height (H) using the proportion:
24/10 = H/2.5
- Multiply both sides by 2.5 to isolate the height (H).
H = 2.5 * (24/10)
H = 2.5 * 2.4
H = 6 feet
Therefore, Justin is 6 feet tall, which corresponds to option A.