Solve the problem.A solar station is to be built at ground level on the east-west line between two buildings as shown below. The distance between the two buildings is 100 meters, the height of the taller building is
and the height of the smaller building is 40 meters. How far from the taller building should the station be placed in order to maximize the number of hours it will be in the sun on a day when the sun passes directly overhead? Note that ? = ? - cot-1
- cot-1
style="vertical-align: -17.0px;" />and find the value of x which maximizes ?.
A. 52.3 meters
B. 53.9 meters
C. 47.7 meters
D. 46.1 meters
Answer: C
Mathematics
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