SOLUTION: judith and marie are helping their friends change the light bulbs on a wall fixture. They placed the base of the ladder 3 feet from the wall. The top of the ladder meets the wall 8

Question 824674: judith and marie are helping their friends change the light bulbs on a wall fixture. They placed the base of the ladder 3 feet from the wall. The top of the ladder meets the wall 8 ft above the ground. What is the slope of the ladder?
AND
Danny's kites is 45 ft in the air. The slope of the string is 9/2. How far away is Danny from the spot on the ground directly below the kite?

Found 2 solutions by Alan3354, TimothyLamb:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
judith and marie are helping their friends change the light bulbs on a wall fixture. They placed the base of the ladder 3 feet from the wall. The top of the ladder meets the wall 8 ft above the ground. What is the slope of the ladder?
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Slope is change in y/change in x, or "rise/run"
AND
Danny's kites is 45 ft in the air. The slope of the string is 9/2. How far away is Danny from the spot on the ground directly below the kite?
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y/x = 9/2
45/x = 9/2

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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problem 1:
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slope = dy/dx
slope = 8/3
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problem 2:
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slope = dy/dx
9/2 = 45/dx
dx = 45/(9/2)
dx = 10
Danny is 10 feet away from the spot on the ground directly below the kite
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NOTE TO STUDENT:
slope is a signed (+ or -) quantity, but these problem statements do not give information that would allow anyone to determine whether the slopes are positive or negative, in reference to the Cartesian plane.
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