Final answer:
By using the concept of similar triangles, we deduce that the height of the second road sign is 6 ft, making answer A) 6 ft the correct choice.
Step-by-step explanation:
The subject matter in question pertains to similarity of triangles in mathematics, specifically dealing with the principles of similar figures to calculate the height of an object from its shadow length.
The first road sign is 10 ft tall and casts a 25 ft shadow. Assuming the sun's rays are at the same angle when both signs cast shadows, we can determine the height of the second road sign by setting up a proportion since the triangles formed are similar:
Height of first sign / Length of first shadow = Height of second sign / Length of second shadow
10 ft / 25 ft = Height of second sign / 15 ft
Solving for 'Height of second sign' gives us:
(10 ft) * (15 ft) / 25 ft = Height of second sign
Height of second sign = 6 ft
Therefore, the correct answer is A) 6 ft.