Question

Please help

Justin used similar triangles to find
the height of a flag pole. When he
stood 7 feet from a mirror laying on
the ground, he could see the top of
the pole in the mirror.
What is the
height
of the
flag pole?

Answer 1

flagpole is sqrt(7h)

Explanation:

We can use similar triangles to find the height of the flagpole.

Since Justin can see the top of the pole in the mirror, we can assume that the mirror and the ground form a right angle and the flagpole, mirror and Justin form a right triangle.

We can use the concept of similar triangles to find the height of the flagpole.

Let h be the height of the flagpole.

We can set up a proportion:

(7+h)/h = h/(7)

Cross-multiply and solve for h:

7h + h^2 = 7h

h^2 = 7*h - 7h

h^2 = 7h

h = sqrt(7h)

So the height of the flagpole is sqrt(7h)

It is worth noting that this answer is a square root of a variable and not a numerical value, thus we can't find an exact value of the height of the flagpole.