Question

The ramp shown below is used to move crates of apples to loading docks at different heights. When the horizontal distance AB is 12 feet, the height of the loading dock, BC is 6 ft. What is the height of the loading dock DE?

Here is the paper

Answer 1

It is 17 feet

Answer 2

Hey there, Carbaughw38!

The height of the segment DE is equal to 17 feet.
Since the bigger triangle is a dilation of the smaller triangle, we need to find the factor of the dilation.
To do this, we need to divide the new side by the smaller side.
So, 34 feet is the length of the bigger triangle divided by 12 feet of the smaller triangle.
Once we divide them, we get a total of 2.833....
Then, we need to multiply that number times 6 to get the height of the other triangle, and we get a total of 16.999... which is rounded to 17.

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