The ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance AB is 12 meters, the height of the loading dock, BC, is 4 meters. What is the height of the loading dock DE?

12 m
8 m
9 m
15 m

C: 9m is the answer please leave a like ๐Ÿ‘

Just got done with this same question, 9 m is correct.

9 meters. khan is wrong.

The ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance AB is 12 meters, the height of the loading dock, BC, is 4 meters. What is the height of the loading dock DE?

Thank you, Tara. :)

To find the height of the loading dock DE, we can use the concept of similar triangles.

Let's consider triangle ABC and triangle CDE. These two triangles are similar because they have one pair of congruent angles (angle BAC and angle CDE) and the other pair of angles are congruent by vertical angles (angle ABC and angle EDC).

We know that the length of AB is 12 meters and the height of BC is 4 meters.

By using the property of similar triangles, we can set up the following proportion:

AB/BC = DE/CE

Substituting the given values:

12/4 = DE/CE

Cross-multiplying:

12 * CE = 4 * DE

Simplifying:

3 * CE = DE

Therefore, for every 3 units horizontal distance covered from C to E, there is 1 unit increase in height.

Since AB is 12 meters, we can divide it by 3 to find the distance CE:

CE = 12 / 3 = 4 meters

So, the height DE is equal to CE, which is 4 meters.

Therefore, the height of the loading dock DE is 4 meters.

Hence, the correct answer is 4 m.

12 M