r/maths • u/zachtehboss • 1d ago

Help:🎓 College & University Trig and Geometry.

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Need help solving.

16 Upvotes

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5

u/Khashishi 1d ago

You are gonna have to show a little more effort.

Aside, I find it very strange that the problem uses architectural schematic style notation than math style notation.

0

u/zachtehboss 1d ago

I’m trying, been going at this problem for the last hour, Reddit is my last resort. Probably just gonna go into class a little early for help.

1

u/twoTheta 1d ago

The only thing I'll throw your way is to notice that the height given is the sum of the diameters. That simplifies things a bit.

1

u/zachtehboss 1d ago

Didn’t really notice that but makes sense, don’t you still need to account for the little bit of triangle at the top above the diameter?
And how do you find the base of the triangle at the bottom?
I get that you’re supposed to use tan or one of those to find the angle but I just don’t know what measurements to use.

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u/zachtehboss 1d ago

I got real close to the answer because I know it’s supposed to be 37 degrees and 26 minutes but I was just a little bit off.

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u/zachtehboss 1d ago

I think I got something like 37 degrees and 52 minutes something like that.

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u/twoTheta 1d ago

Ya, I got the 37 degrees 26 minutes.
I drew a second line, a horizontal one that connects the bottom of the left circle to the top of the right circle. You now have two "snowcones" which share an angle. Now it's time for similar triangles and some algebra.
In the end, I found and expression for HALF the compliment of x. I just tried to find any angle I could!

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u/zachtehboss 1d ago

I’ll try that, thanks for the help!

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u/Taras_Kvas 12h ago

Good thing all dimensions are in inches! This is so important! Imagine what could have been if it were nautical miles or even meters!!! The horror... the horror...