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Hi,
My kid brought some homework back and I sat down to help...... And got stuck *blush*
Well, his homework was easy, find the missing length or angle of a triangle etc. We finished that with no problems and I felt quite happy I seemed to of helped, but then he asked me about angles of a triangle -
Why are the angles always an exact figure, like 45 degrees or 61 degrees.
I should of just said, thats what the book says, but no, I went into explaining that the angles can have decimals and tried to explain about the Angle being built with Degrees and minutes / secs ... This sank in and then he said, -
What tangent should be used for a 32.47 degree angle ?
I grinned and opened the Trigonometric table page and found 32 degrees = 0.625
and 33 degrees = 0.649.. And said it lies within these too tangents.
But.... I couldn't explain what the exact tangent to use would be. I told him we'd revisit the problem and so here i am.... I've searched the net and havent found any such precise tangent tables or anything which will help me to understand and explain better the solution.
Sorry its a long one... Any help on this would be appreciated.
Robin
Whilst tiling the kitchen, I got to thininking about what shapes could be made with the tiles. in particular rectangles.
For example if I had 15 tiles, how many different arrangements of rectangles could I make. In this case it was two.
15 tiles = 2 arrangements 1 x 15 and 3 x 5
A stack of 1111 walls tiles ???
How many rectangular arrangements can be maded using 1111 tiles. Is there a formular for working this out ?
Ive searched for an answer on the net, but haven't found anything to help.
Any pointers would be great
Robin
Hi,
You have probably all seen or read about Fermat receiving a letter asking if 100895598169 is prime and quickly replying that it was a factor of 112303 and 898423.
Anyway, I was trying to find out how he worked it out. Knowing the answers gives a huge help in finding a method, but don't think he did it the same way.
100895598169 X 8 = 807164785352
Sqrt of 807164785352 = 898423
100895598169 / 898423 = 112303
Can anyone come up with other methods ?
Robin
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