For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 meters to the other side of the mirror, until she can see the top of the
flagpole clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.

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MrRoyal MrRoyal · Answer 1 · 2021-12-01T11:34:24+01:00

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

Read more about equivalent ratios at:

https://brainly.com/question/18441891