Ann and Kelly are standing on a river bank, wondering how wide the river is.

Ann and Kelly are standing on a river bank, wondering how wide the river is.

wondering how wide the river
is. Ann is wearing a baseall cap, so she comes up with the following
idea: She lowers her
cap until she sees the tip of the visor just at the
opposite bank of the river. She then turns around 180 degrees, to face
away from the river, being careful not
to tilt her head or cap, and has Kelly walk to the spot
where she can just see Kelly’s shoes. By pacing off the distance between
them, Ann and Kelly figure that
Kelly was 50 feet away from Ann. If the ground around
the river is level, what, if anything, can Ann and Kelly conclude about
how wide the river is? Relate this to
triangle congruence.

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