Question

Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs away from the building and places a mirror an the ground between him and the wall When he can see the top of the building in the mirror, Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the height of the building. How tall is the building in feet?

Answer 1

Answer:

IT'S 22 JUST FOUND OUT

Step-by-step explanation:

Answer 2

Hence the height of the building is 27.5 ft.

Given, Peter places a mirror between him and the wall. Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so the height of peter is  5 ft 6 inches.

Yes he was able to calculate the height of the building.

We have the following formulae by similarity of triangles,

$\frac{height of building}{peter's height } =\frac{13.75 ft}{2.75ft}$

Now,$\frac{height of building}{5.5ft} =\frac{13.75ft}{2.75ft}$

$\frac{height of building}{5.5ft}=5$

$height of building=5.5\times 5 ft$

So,$height of building = 27.5 ft$

Hence the height of the building is 27.5 ft.

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