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A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round to the nearest tenth of a foot.

Respuesta :

Answer:

21.8

Step-by-step explanation:

The distance for the side of the house will the ladder reach now should be considered as the 21.8 ft.

Calculation of the distance;

Since first we have to determine BC i.e.

[tex]= \sqrt{50^2 - 30^2} \\\\= \sqrt{1600}[/tex]

=  40 ft

Now

In the case when Alonso grabs the ladder at its base and pulls it 5 feet farther from the house

So,

[tex]= \sqrt{(50)^2 - (45)^2} \\\\= \sqrt{475} \\\\= 5 \sqrt 19[/tex]

= 21.8 ft.

Learn more about base here: https://brainly.com/question/23854119

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