Question

type the correct answer in the box.
the image shows a portion of a bridge supported by two vertical pillars built from the points b and c on the slope below.
the length of the bridge between pillar b and pillar c is
feet.

Explanation:

Step1: Set up proportion via similar triangles

Let $x$ = length between pillars B and C. The triangles are similar, so $\frac{40}{50} = \frac{x}{70}$

Step2: Solve for $x$

Rearrange to isolate $x$: $x = \frac{40 \times 70}{50}$

Step3: Calculate the value

Simplify the expression: $x = \frac{2800}{50} = 56$

Answer:

56