June 13th, 2015 at 7:34:12 AM
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I see, you started a new thread about a puzzle in a different thread 8-)

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June 13th, 2015 at 7:37:10 AM
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Indeed. And the solution to this formula is "supposed to be" 30 degrees, so that it validates the trig-based answer to the puzzle.

FWIW, the source's instructions (but not the instructions in the puzzle thread) say NOT to use trig, and to use geometry instead.

FWIW, the source's instructions (but not the instructions in the puzzle thread) say NOT to use trig, and to use geometry instead.

"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett

June 13th, 2015 at 7:48:28 AM
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Quote:ssho88So, what is the answer ?

Who cares. This is the math forum. It is sufficient that an answer exists and is unique. Furthermore WolframAlpha gives you an exact expression... who would you ever need more ? :)

June 13th, 2015 at 7:48:47 AM
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Quote:rdw4potusIndeed. And the solution to this formula is "supposed to be" 30 degrees, so that it validates the trig-based answer to the puzzle.

FWIW, the source's instructions (but not the instructions in the puzzle thread) say NOT to use trig, and to use geometry instead.

Could you please show me the source's instructions ?

June 13th, 2015 at 7:51:16 AM
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Quote:ssho88Could you please show me the source's instructions ?

You may use only elementary geometry, such as the fact that the angles of a triangle add up to 180 degrees and the basic congruent triangle rules (side-angle-side, etc.). You may not use trigonomery, such as sines and cosines, the law of sines, the law of cosines, etc.]

"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett

June 13th, 2015 at 7:54:32 AM
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Quote:rdw4potus

Thanks. Trigonometry can solve both problem 1 and 2 !