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Type: Multiple-Choice
Category: Similar and Congruent Figures
Level: Grade 10
Standards: HSG-SRT.B.5
Author: nsharp1
Created: 4 years ago

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Similar and Congruent Figures Question

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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5

Andrew is trying to determine the height of a building. He has a small mirror and places it flat on the ground, face up, 4.4 m away from the base of the building. He then backs away from the mirror, until he can see the top of the building in it; he is 50 cm away from the mirror when this happens. If Andrew is 1.85 m, and his eyes are 5 cm below the top of his head, how high is the building? Round the answer to 1 decimal place.

Note: In flat mirrors, the angle of incidence (the angle between the incoming light ray and a line perpendicular to the mirror at the point the light ray strikes) is equal to the angle of reflection (the angle between the light ray leaving the mirror and the perpendicular line referenced already).
  1. 0.2 m
  2. 15.8 m
  3. 16.3 m
  4. 21.0 m