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Sagot :
The height of the flagpole, found using the ratio of the sides of similar triangles is 12.975 meters
What are similar triangles?
Similar triangles are triangles in which two angles of one triangle are congruent to two angles in the other triangle, such that they have the same shape.
The parameters that can be used to find the height of the flagpole are;
Distance of the mirror from the flagpole = 8.65 meters
Distance of Feng on the other side of the flagpole = 1.1 meters
The height from Feng's eyes to the ground = 1.65 meters
According to the law of reflection, the angle of incident and the angle of reflection are the same
The angle made by Feng and the ground = Angle made by the flagpole and the ground = 90°
The triangle formed by the Feng and the flagpole are therefore similar by AA similarity postulate
The ratio of corresponding sides of similar triangles are the same, therefore;
[tex]\dfrac{1.65}{Height\, of \, the \, flagpole} = \dfrac{1.1}{8.65}[/tex]
[tex]Height\, of \, the \, flagpole = \dfrac{1.65}{1.1} \times 8.65 = 12.975[/tex]
Height of the flagpole = 12.975 meters
Learn more about similar triangles here:
https://brainly.com/question/14285697
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