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What is the measure of angle C, to the nearest degree? (Image Attached)

a. 22*
b. 43*
c. 47*
d. 68*

What is the measure of angle C, to the nearest degree? (Image Attached) a. 22* b. 43* c-example-1
User John Sly
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2 Answers

5 votes
Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45

sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)

C = 42.8639459...
C ≈ 43°
User Jason Heo
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8.3k points
5 votes

Answer:

((B)

Explanation:

From the figure, it is given that ABC is a triangle and AB=35 and BC=45.

Now, from ΔABC, using the sine law, we get


(sinA)/(BC)=(sinC)/(AB)

Substituting the given values, we get


(sin61^(\circ))/(45)=(sinC)/(35)


sinC=(35*(sin61))/(45)


sinC=(35*(0.874))/(45)


sinC=(30.611)/(45)


sinC=0.680


C=sin^(-1)(0.680)


C=42.84


C
43

Thus, the measure of angle C is 43.

Hence, option (B) is correct.

User Gaby Awad
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7.8k points

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