SOLUTION: I need help with this problem please.
The answer is suppose to be to the nearest thousandth.
The base of an 18-ft ladder is 4 ft away from a wall. How far above
the floor is the
Algebra.Com
Question 109616: I need help with this problem please.
The answer is suppose to be to the nearest thousandth.
The base of an 18-ft ladder is 4 ft away from a wall. How far above
the floor is the top of the ladder?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We basically have this triangle set up:
Since we can see that the triangle has legs of x and 4 with a hypotenuse of 18, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem:
where a and b are the legs of the triangle and c is the hypotenuse
Plug in a=x, b=4, and c=18. Now lets solve for x
Square each individual term
Subtract 16 from both sides
Combine like terms
Take the square root of both sides
Simplify the square root
Which approximates to...
So our answer is
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