1987 AHSME Problems/Problem 19
Problem
Which of the following is closest to ?
Solution
We have . Also , so . Thus . Now notice that , so , so the answer must be or . To determine which, we write which is true. Hence as the expression is greater than , and less than or equal to (since we showed it is certainly less than ), it is closest to , which is answer .
( is approximately equal to )
See also
1987 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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