Question

What would be the height of a building the cast a shadow 50 feet long at the same time

Answer 1

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.

Step-by-step 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.

`\begin{gathered} (AC)/(DF)=(AB)/(DE) \\ (5)/(h)=(2)/(50) \\ h=(50*5)/(2) \\ h=125\text{ ft} \end{gathered}`

Final Answer:

Thus the third option is the correct answer.