The ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance AB is 12 feet, the height of the loading dock, BC, is 6 feet. What is the height of the loading dock DE? ( BD is 22feet)
A- 10feet
B- 12feet
C- 17feet
D- 18feet
I have no idea where DE is in relation to A,B,C
To find the height of the loading dock DE, we need to use the concept of similar triangles.
In the given diagram, we have two similar triangles: triangle ABC and triangle DBE.
Let's label the height of the loading dock DE as x. Now, we can set up a proportion to find the value of x.
Since triangles ABC and DBE are similar, we can write the proportion:
AB/BC = BD/DE
Plugging in the given values:
12/6 = 22/x
Cross-multiplying:
12x = 6 * 22
Simplifying:
12x = 132
Dividing both sides by 12:
x = 132/12
x = 11
Therefore, the height of the loading dock DE is 11 feet.
Since this is not one of the answer choices, it seems there might be an error in the given information or the options provided.
But my guess is
DE/(12+22) = 6/12
DE = 17