SOLUTION: Determine the measure of side a given the following informaiton for triangle ABC: C=25degrees, B=108degrees, c=59ft
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-> SOLUTION: Determine the measure of side a given the following informaiton for triangle ABC: C=25degrees, B=108degrees, c=59ft
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Determine the measure of side a given the
following informaiton for triangle ABC:
C = 25degrees, B = 108degrees, c = 59ft
First we find angle A using
A + B + C = 180°
A + 108° + 25° = 180°
A + 133° = 180°
A = 47°
Now we use the law of sines:
= =
We only need
=
Solve for c:
Cross multiply:
=
Divide both sides by =
59*sin(47°)
a = -------------
sin(25°)
a = 102.1012869 ft.
Since the angles are measured to the
nearest degree, and the side c measured to
2 significant digits, then side a
should be rounded to either 102 ft. or 100 ft.
Edwin