a triangle is formed by the buildings height and shadow. another triangle is formed by the flagpoles height…

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 feet.

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 feet.

Answer

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of their corresponding sides are equal. So we have $\frac{x}{34}=\frac{20}{2}$.

Step2: Solve for x

Cross - multiply: $2x = 20\times34$. Then $2x=680$. Divide both sides by 2: $x=\frac{680}{2}=340$.

Answer:

340