In the diagram of the park, ADF~ BCF. The crosswalk at point A is about 20 yd long. A bridge across the pond will be built, from

Question

Ipatiy [6.2K]

3 years ago

12

In the diagram of the park, ADF~ BCF. The crosswalk at point A is about 20 yd long. A bridge across the pond will be built, from

point B to point C. What will the length of the bridge be?

Mathematics

1 answer:

velikii [3] · Answer 1 · 2021-12-12T11:28:24+03:00

<span>Since the 2 triangles are similar, their sides are proportional.
You also know AD is 20 yards, since it tells you that is the crosswalk length at A.
So the proportion is :
50 / 120 = 20 / BC
Or
if you flip it over,
120 / 50 = BC / 20
Then you can solve for BC.
120 / 50 = BC / 20
(20)(120/50) = BC
BC = 48</span>