Regents High School Examination - Mathematics B Worksheet - The University Of The State Of New York, 2004 Page 7

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Part II
Answer all questions in this part. Each correct answer will receive 2 credits. Clearly indicate the
necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [
]
12
21 A ski lift begins at ground level 0.75 mile from the base of a mountain
whose face has a 50° angle of elevation, as shown in the accompanying
diagram. The ski lift ascends in a straight line at an angle of 20°. Find
the length of the ski lift from the beginning of the ski lift to the top of
the mountain, to the nearest hundredth of a mile.
Top of mountain
20°
50°
Base of
Beginning
mountain
of ski lift
[7]
[OVER]
Math. B – Aug. ’04

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