section 5.6: law of sines - tipp city · 2015. 9. 8. · section 5.6: law of sines september 08,...
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Section 5.6: Law of Sines September 08, 2015
A
C
b a
cB
sinA = sinB =
Why can't we use sine, cosine or tangent in ΔABC?
Section 5.6: Law of Sines
A
C
b a
cB
h
Law of Sines used to solve nonright triangles. It's a proportion that can be applied to any triangle
Law of Sines
sin A = sin B = sin Ca b c
To use this law you must know at least 1 of the ratios completely (aka have a side & angle pair)
Section 5.6: Law of Sines September 08, 2015
A
B
C33°
13 a105°
b
1. Solve the Triangle
L
M
N29°
l
22m
112°
2. Solve the Triangle
Section 5.6: Law of Sines September 08, 2015
Law of Sines...making old problems so easy.3. Solve for h
h
70°40°x20
4. A person in a hotair balloon observes that the angle of depression to a building on the ground is 65.8°. After ascending vertically 500ft, the person now observes that the angle of depression is now 70.2°. How far is the balloonist now from the building.
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