This is a blog for my second semester pre-calculus 30s students. Have a blast!

Tuesday, February 28, 2006

Fill-In Scribe Post

Since this is just a fill-in scribe post, I'll just make it as straightforward as possible and since most of us understand how to do this.

MORE ON AMBIGUOUS CASE TRIANGLES

ex:
How many possible triangles?

* 1 triangle
* the angle is opposite the longer side








ex.
sin Y / 5 = sin 42 / 3

sin y = 1.1

* no
triangles.
* /sin x/ > 1.





e
x.

Find all possible values for side c.

5 / sin 28 = 6 / sin B


5 sin B / 5 = 6 sin 28 / 5

sin B = 6 sin 28 / 5

angle B = 34.3 degrees




To find the related angle:

Br = 180 - 34.3
B r = 145.7 degrees

There are two possible answers for angle C:

angle C = 180 - 28 - 34.3

angle C = 117.7 degrees

for the related angle:

angle Cr = 180 - 28 - 145.7
angle Cr = 6.3 degrees

Since there are two possible answers for ang
le C, we organize our work into a table.

when angle C = 117.7 degrees:
c / sin 117.7 = 5 / sin 28
c sin 28 = 5 sin 117.7
c = 9.4

when angle C = 6.3 degrees:
c / sin 6.3 = 5 / sin 28
c sin 28 = 5 sin 6.3
c = 1.2


last example: Find all possible angles for angle C.


19 / sin 19 = 23 / sin B
19 sin B =
23 sin 16
sin B = 23 sin 16 / 19
angle B = 19.5 degrees




Solving for the related angle:

angle Br = 180 - 19.5
angle Br = 160.5 degrees

Solving for angle C:



when angle B = 19.5 degrees:
angle C = 180 - 16 - 19.5
angle C = 144.5 degrees


when angle B = 160.5 degrees
angle C = 180 - 160.5 - 16
angle C = 3.5 degrees



And that's the end of today's lesson. I hope that helps.

Er.. do I have to pick a scribe for tomorrow? If I have to.. well, I pick:








rus-L. You can do it!

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