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1 vote
2.

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

User Zoidbeck
by
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1 Answer

4 votes

Answer:

Following are the responses to the given question:

Explanation:


\angle C= 180 - ( 26 + 51 )\\\\C = 103^(\circ)

applying the law of sines to find the unknown sides:


\to (a)/(\sin A) = (c)/(\sin C)\\\\\to (a)/(\sin 26) = (28)/(\sin 103)\\\\a=(28 * \sin 26 )/(\sin 103)\\\\a=(28 * 0.438371147 )/(0.974370065)\\\\a=(12.2743921 )/(0.974370065)\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\


\to (b)/(\sin 51) = (28)/(\sin 103)\\\\\to b=(28 * \sin 51 )/(\sin 103)\\\\b=(28 * 0.777145961 )/(0.974370065)\\\\b=(21.7600869 )/(0.974370065)\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\

so,


\angle C = 103^(\circ)\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m

2. Solve the triangle. Round to the nearest tenth when necessary or to the nearest-example-1
User Lurscher
by
6.9k points
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