Question

a triangle is formed by the buildings height and shadow. another triangle is formed by the flagpoles height and shadow. using the following diagram, find the height of the building.
the height of the building is $square$ feet.
(diagram notes: building with height $x$, shadow length 40 ft; flagpole height 25 ft, shadow length 2 ft)

Explanation:

Step1: Set up proportion

$\frac{x}{40} = \frac{25}{2}$

Step2: Solve for $x$

$x = \frac{25 \times 40}{2}$

Step3: Calculate the value

$x = 25 \times 20 = 500$

Answer:

500