Peter walk 30 feet away from his house in places a mirror on the ground. he backed 6 feet away from the mirror so that he can see the tip of the roof. Peters eyes are 5 feet above the ground. Peter in the house are both perpendicular to the ground. The angle between the top of the house, the mirror, and the ground between Peter's eyes, the mirror, and the ground are congruent. find the height of the house

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Peter walk 30 feet away from his house in places a mirror on the ground. he backed 6 feet away from the mirror so that he can see the tip of the roof. Peters eyes are 5 feet above the ground. Peter in the house are both perpendicular to the ground. The angle between the top of the house, the mirror, and the ground between Peter's eyes, the mirror, and the ground are congruent. find the height of the house

Geometry
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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The triangles are similar, so the lengths of corresponding sides are proportional. \(\dfrac{h}{5} = \dfrac{30}{6} \) Cross multiply and solve for h.

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