Given:
The height of the girl is 5 ft and the length of the shadow is 2 ft., at the same time the shadow of the building is 50 ft .
Required:
To find the height of the building.
Explanation:
Let the height of the building is h ft.
Since triangle ABC is similar to the triangle DEF.
Thus by using the similarity condition.
[tex]\begin{gathered} \frac{AC}{DF}=\frac{AB}{DE} \\ \frac{5}{h}=\frac{2}{50} \\ h=\frac{50\times5}{2} \\ h=125\text{ ft} \end{gathered}[/tex]
Final Answer:
Thus the third option is the correct answer.
