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gtnhenbr [62]
3 years ago
8

The top of angies ladder is resting against the side of her house 22 feet above the ground.If the base of the ladder is 5 feet f

rom the house what is the slope of the ladder

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

Step-by-step explanation:

The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.

Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

AC^2 = 22^2 + 5^2

AC^2 = 484 + 25 = 509

AC = √509

AC = 22.56

The slope of the ladder is

(change in y)/(change in x)

Slope = 22/5 = 4.4

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