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Peter walks 30 feet away from his house and places a mirror on the ground. He backs 6 feet away from the mirror so that he can see the tip of the roof. Peter's eyes are 5 feet above the ground. Peter and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Peter's eyes, the mirror, and the ground are congruent as shown in the image below:

What is the height of the house? Show your work and explain your reasoning in complete sentences. PLEASE HELP THANKS

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cdw2014
Work is in the attached picture. Whenever you are given a problem like this, draw it out. It makes it a lot easier!

The house is 25 feet tall.
Ver imagen cdw2014

The image required to solve the question is attached.

The height of the house 25 feet.

What is congruent?

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

How to find the height of the house?

Given Peter steps outside his home by 30 feet and sets a mirror on the ground. In order to see the top of the roof, he steps back 6 feet from the mirror. Five feet above the earth, Peter's eyes may be seen.

We have to find the height of the house.

Let h be the height of the house.

If The angles between the top of the house, the mirror, and the ground and between Peter's eyes, the mirror, and the ground are congruent.

then

30/h=6/5

  6h=150

    h=25 feet

Hence the height of the house is 25 feet.

Learn more about congruent here: https://brainly.com/question/1675117

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Ver imagen sharmaaashutosh169

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