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For a project in his Geometry class, Nathaniel uses a mirror on the ground to measure the height of his school’s flagpole. He walks a distance of 7.95 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.15 meters to the other side of the mirror, until he can see the top of the flagpole clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.

For a project in his Geometry class Nathaniel uses a mirror on the ground to measure the height of his schools flagpole He walks a distance of 795 meters from t class=

Respuesta :

abidemiokin

The height of the flagpole to the nearest hundredth is 11.41 m

Similar shapes

In order to get the height of the flagpole, we will use the similarity theorem of shapes.

From the given diagram, we will have the expression

1.65/1.15 = x/7.95

Cross multiply

1.15x = 1.65 * 7.95

1.15x = 13.1175

x = 13.1175/1.15

x = 11.406

Hence the height of the flagpole to the nearest hundredth is 11.41 m

Learn more on similar shapes here: https://brainly.com/question/2644832

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