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ikadub [295]
3 years ago
9

A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of

the ladder from the base of the wall?
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

14dm

Step-by-step explanation:

To solve this question we can use the Pythogorean theorem

a^2 + b^2 = c^2

In this case, The ladder is the hypotenuse, the height is one of the leg of the right angle triangle

Let's keep the missing side as x

If we apply the theorem,

x^2 + 48^2 = 50^2

x^2 + 2304 = 2500

x^2 = 2500 - 2304

x^2 = 196

x =  \sqrt{196}  \\ x = 14

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