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For a project in her Geometry class, Addison uses a mirror on the ground to measure
the height of her school's football goalpost. She walks a distance of 13.25 meters from
the goalpost, then places a mirror on flat on the ground, marked with an X at the
center. She then steps 1.3 meters to the other side of the mirror, until she can see the
top of the goalpost clearly marked in the X. Her partner measures the distance from
her eyes to the ground to be 1.55 meters. How tall is the goalpost? Round your answer
to the nearest hundredth of a meter.
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Respuesta :

The height of the goalpost is approximately 15.79 meters.

Given;

The distance of the mirror from the goalpost = 13.25 meters

The distance on the other side of the mirror Chee steps  =  1.3 meters

The distance from her eyes to the ground = 1.55 meters

What is the relation between similar triangles?

By using similar triangles relationships, we have;

1.3 / 13.25 = 1.55 / Height

Height = 1.55 x 13.25 / 1.3

Height = 15.79 m

The height of the goalpost, h ≈ 15.79 meters

Learn more about similar triangles here:

brainly.com/question/10676220

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