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il63 [147K]
3 years ago
7

2.

Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

Following are the responses to the given question:

Step-by-step explanation:

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

applying the law of sines to find the unknown sides:

\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to  \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\

\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to  b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{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

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