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4 votes
A=63°

C = 7.75 inch
B = 47°
Oblique Triangle
13. Refer to the oblique triangle shown. What's the length of side a? Round to the nearest hundredth of an inch.
O A. 7.75 inches
O B. 7.35 inches
O C.4.72 inches
O D. 6.03 inches

User Timoteo
by
8.0k points

1 Answer

4 votes

Answer:

B. 7.35 inches

Explanation:

In the triangle:

  • A=63°
  • c = 7.75 inch
  • B = 47°

Now we know that:


\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ

Using the Law of Sines


(a)/(\sin A) =(c)/(\sin C)\\\\(a)/(\sin 63^\circ) =(7.75)/(\sin 70^\circ) \\\\a=(7.75)/(\sin 70^\circ) * \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)

User Olu Udeh
by
6.5k points