SOLUTION: an airport has a sloping ramp from the terminal down to the door of the airplane. the door of the airplane is 43 ft away from terminal( where the ramp starts) and is 4 ft below the

Question 316999: an airport has a sloping ramp from the terminal down to the door of the airplane. the door of the airplane is 43 ft away from terminal( where the ramp starts) and is 4 ft below the terminal side of the ramp. how long is the ramp?
Found 2 solutions by mananth, jim_thompson5910:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the horizontal distance from ramp to terminal = 43 ft ( leg1)
the vertical height = 4 ft (leg2)
length of ramp = ? (hyp)
..
they form a right triangle
hyp^2= 43^2+4^2
hyp^2= 1849+16
hyp^2=1865
hypotenuse = 43.18 feet

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We basically have this triangle set up:

To find the unknown length, we need to use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Combine like terms.

Rearrange the equation.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

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Answer:

So the solution is which approximates to .

So the ramp is about 43.186 ft long.
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