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83 Tangent Ratio 2011
1
February 07, 2011
Jan 309:10 PM
83 Tangent Ratio
Objective- use the tangent ratio to determine side lengths and
angles in right triangles.
83 Tangent Ratio 2011
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February 07, 2011
Jan 309:15 PM
For numbers 1-3 identify the length of:a. the hypotenuseb. the side opposite angle Bc. the side adjacent to angle B.
4. Sketch a 30-60-90 triangle and label the sides. Use "s" as your short side
83 Tangent Ratio 2011
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February 07, 2011
Jan 3111:38 AM
RECAPEquations to find sides in 45-45-90 triangles
Equations to find sides in 30-60-90 triangles
45
4590
l
ll√2
2ss√3
s
30
6090
83 Tangent Ratio 2011
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February 07, 2011
Jan 309:23 PM
So what the heck is the tangent ratio?Lets find out.
83 Tangent Ratio 2011
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February 07, 2011
Feb 210:25 AM
Measurements
83 Tangent Ratio 2011
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February 07, 2011
Jan 309:25 PM
So the tangent ratio is...
Important!As long as the angles are the same,
this ratio is the same no matter what size the triangle is!
83 Tangent Ratio 2011
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February 07, 2011
Feb 210:53 AM
Lets try it. Quietly. On our own.
Find the length of w.
tan(A)Opposite
Adjacent
83 Tangent Ratio 2011
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February 07, 2011
Jan 3112:24 PM
Where else would we use this stuff besides class???
Used to find distances that are impossible to directly measure.
83 Tangent Ratio 2011
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February 07, 2011
Jan 312:04 PM
Find the distance, x, from the earth to the moon using the tangent ratio.
0.955o
x
3,950 mi
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February 07, 2011
Feb 210:59 AM
We found side lengths, how do we find angles?
tan(A) 20
Using Inverses!tan-1
Consider:5A=10
83 Tangent Ratio 2011
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February 07, 2011
Feb 211:09 AM
Again. Lets try it. Quietly. On our own.
tan(X)Opposite
Adjacent
Find m X.
83 Tangent Ratio 2011
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February 07, 2011
Feb 211:12 AM
Homework
Pg. 434 # 1 - 9 odd, 11 - 15 odd, 22, 24, 31
