Respuesta :

You set this up using Pythagorean theorem (A^2 + B^2 = C^2)
When setting up the right triangle, the problem says the ladder is placed 7 feet away, which would be the bottom of the triangle, and would be your A or B value, the ladder is leaning and is a total of 25 feet, meaning 25 is your hypotenuse and is your c value.
Then you're at A^2 +7^2 = 25^2
Square all of the integers, giving you A^2 +49 =625, then subtract 49 from each side leaving you with A^2 = 576, square root each side (√A^2 = √576)
Which will leave you at A = 24.

The 24 feet high up the ladder will reach to the wall if the ladder height is 25 feet and is placed 7 feet from the wall.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Length of the ladder = 7 feet

The distance between the wall bottom end to ladder bottom end = 7 feet

As we can see in the diagram the ladder and wall making a right angle triangle ABC in which

AC = 25 feet

BC = 7 feet

Let's suppose the length of the wall is h feet

AB = h feet

From the Pythagoras theorem:

AC² = AB² + BC²

Put the values of AC and BC, we get

25² = h² + 7²

625 = h² + 49

625 - 49 =  h²    (subtract by 49 on both sides)

576 = h²

h = 24 feet         (taking square root on both sides)

Thus, the 24 feet high up the ladder will reach to the wall.

Know more about trigonometry here:

brainly.com/question/26719838

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