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?
A. 12m
B. 8m
C. 9m
D. 15m
My best answer is C @Ms.Sue can you please check
I honestly don't know the answer I need to know how to do this step by step so I won't ask for help anymore
To find the height of the loading dock DE, we can use the concept of similar triangles. In this case, we can compare the triangles ABC and ADE.
The ratio of corresponding sides of similar triangles is equal. So we can set up the following proportion:
AB / BC = AD / DE
Plugging in the given values, we have:
12 / 4 = AD / DE
Simplifying the equation, we get:
3 = AD / DE
To find the height of the loading dock DE, we need to find the value of AD first. We can do this by rearranging the equation:
AD = 3 * DE
Now we substitute this into the first equation:
12 / 4 = (3 * DE) / DE
Simplifying further:
3 = 3 * DE / DE
Canceling out the common factor of DE on both sides and simplifying:
3 = 3
This means that the height of DE can be any value as long as 3 = 3. Therefore, we cannot determine the exact height of DE with the given information.
So, my answer would be that it is not possible to determine the height of the loading dock DE based on the information provided.