Mathematics B Exam Worksheet - Regents High School Examination, The University Of The State Of New York, 2005 Page 17
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2434 An architect is designing a park with an entrance represented by point C
and a circular garden with center O, as shown in the accompanying dia-
gram. The architect plans to connect three points on the circumference
of the garden, A, B, and D, to the park entrance, C, with walkways so
that walkways
CA
and
CB
are tangent to the garden, walkway
DOEC
is a path through the center of the garden,
= 3:2,
m
ADB
:
m
AEB
BC = 60 meters, and EC = 43.6 meters.
Find the measure of the angle between walkways
and
.
CA
CB
Find the diameter of the circular garden, to the nearest meter.
43.6 m
60 m
[17]
Math. B – June ’05
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