Question

Solve the following problem using properties of similar triangles a 40 ft flag pole outside an office building cast a 25-ft shadow what is the height of the office building if the shadow It cast is 200 ft long

Answer 1

Let's denote the height of the office building as $h$.

According to the given information, the flag pole has a height of 40 ft and casts a shadow of 25 ft. Using the properties of similar triangles, we can set up a proportion:

$\frac{h}{40} = \frac{200}{25}$

Cross-multiplying, we get:

$25h = 40 \cdot 200$

Simplifying, we find:

$25h = 8000$

Dividing both sides by 25, we obtain:

$h = \frac{8000}{25}$

$h = 320$

Therefore, the height of the office building is 320 ft.