07 state

[austorior]

A large, right isosceles triangular prism is placed on a table hypotenuse down. A 12 inch ruler is placed orthogonal to the prism with one end resting on the table 8 inches away from the prism and the other end resting on the prism slant surface. If the ruler end resting on the table moves at 2 in/s, what is the positive magnitude of the velocity of the other ruler end? (When i got to orthogonal i stopped reading...)(2.17 in/s)

1.JPG (11.56 KiB) Viewed 1809 times

2.JPG (9.45 KiB) Viewed 1809 times

[sinkokuyou]

I like geometry problems, they are the best!

[sinkokuyou]

~

[88bobcat]

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For the first image, any of the angles of the triangle can be calculated using the Law of Cosines.

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Once that angle is known, it can be used with its opposite leg and the Law of Sines to calculate the circle's diameter.

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For the second image, you need to improve your understanding of trigonometry

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[88bobcat]

[austorior]

[sinkokuyou]

that's what the sine law says... and don't forget that D is the diameter...

[austorior]

some how i can't see how the two triangles are related... but ok next time i see this kind of problem ill just assume to use sine law lol

[88bobcat]

[austorior]

ohh ok thanks so much. :)