Tall Buildings
Standards Assessed: 1.4, 2.1, 2.2, 3.1, 3.3, 3.5, 4.1, 4.5
Name __________________
Geometry
Directions: Alex, Bobbi, Carla, and Darrell live
in four adjacent buildings. Alex knows the
height of his building is 48 feet. They devised a
way of measuring the height of the other three
buildings using mirrors. They place the mirror
on the ground between the buildings and then
adjust its position until a person at the top of
each building can see each other in the mirror.
Alex can see Bobbi in the mirror if it is placed 20 feet from the point directly below him
and 30 feet from the point directly below Bobbi.
Bobbi can see Carla in the mirror if it is placed 10 feet from the point directly below her
and 5 feet from the point directly below Carla.
Carla can see Darrell in the mirror if it is placed 8 feet from the point directly below her
and 6 feet from the point directly below Darrell.
Find the height of Bobbi’s, Carla’s, and Darrell’s buildings. Note the sketch is not drawn
to scale. Make sure you include an explanation with necessary computations, sketches,
formulas, and notes.