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Solve the triangle. A = 33°, a = 20, b = 13
asked
Aug 19, 2017
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4
votes
Solve the triangle.
A = 33°, a = 20, b = 13
Mathematics
high-school
Joonsang
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Joonsang
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2
Answers
4
votes
Answer:
B = 20.7°, C = 126.3°, c ≈ 29.6
Explanation:
Pith
answered
Aug 19, 2017
by
Pith
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3
votes
sin
(A)/
a
=
sin
(B)/
b
=
sin
(C)/
c
Substitute the known values into the law of sines to find
B
sin
(B)/
13
=
sin
(33)/
20
B=20.73 ,
159.26
The sum of all the angles in a triangle is
180180
degrees.
33+20.733
+C
=
180
C=
126.266
sin
(A)/
a
=
sin
(B)/
b
=
sin
(C)/
c
Substitute the known values into the law of sines to find
AB
AB
.
sin
(126.26688907)/
AB
=
sin
(20.733)/
13
AB
=
29.607
so final results are
A=33
A=33
B=20.733
C=126.2668
a=20
b=13
c=29.607
hope this helps
Maraujop
answered
Aug 24, 2017
by
Maraujop
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