For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8.25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

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raphealnwobi raphealnwobi · Answer 1 · 2022-04-01T16:08:10+02:00

The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle Elijah makes with the ground, hence:

tanФ = 1.45/0.8

Ф = 61.11°

The angle of elevation to the building is 61.11°. Let h represent the height of the building.

tan(61.11°) = h/8.25

h = 14.95

The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828