
0000 A.
asked 12/18/21Solve the triangle. Express the results to two decimal places.
b = 408, α = 52°42′, β = 75°36′
Please do put solutions so I can understand on how you do it.
2 Answers By Expert Tutors

Mark M. answered 12/18/21
Mathematics Teacher - NCLB Highly Qualified
Determine size of angle γ, 180° - α - β
Use the Law of Sines to determin a and c.

Osman A.
Good, Determine size of angle γ, 180° - α - β. Use the Law of Sines to determin a and c. γ = 180° - (52°42′ + 75°36′) = 52°42′. α = 52°42′, β = 75°36′, γ = 52°42′. a = ??, b = 408, c = ?? Now, for me to use use Law of Sines, tell me which angle belongs to which side. Assume? Angles: <A, <B, <C are not given; instead given α, β, γ; which we don't know their relationship to sides a, b, c12/18/21

Osman A. answered 12/18/21
Professor of Engineering Mathematics – Trigonometry and Geometry
Solve the triangle. Express the results to two decimal places. b = 408, α = 52°42′, β = 75°36′. Please do put solutions so I can understand on how you do it.
Detailed Solution:
I want to help. However, this question is not clear without a picture (I presume you have a picture). Since Side b = 408 is listed, are there sides a and c; and where are they relative to α = 52°42′, β = 75°36′. How do the angles and sides relate? which side is opposite to which angle? You see, we do not have the picture, thus the question is not clear to us.
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Mark M.
A picture is not needed. Determine the size of the third angle and use Law of Sines to calculate missing two sides.12/18/21