Quiz about 4/10 CW: Law of Sines

Question 1

In triangle ABC, if $$a = 8$$ , $$b = 15$$ , and $$\angle A = 30^\circ$$ , find $$\angle B$$ using the Law of Sines.

Accepted Answer

$$70\degree$$

Answer

$$45^\circ$$

Answer

$$60^\circ$$

Answer

$$90^\circ$$

Question 2

Given a triangle with sides $$a = 7$$ , $$b = 24$$ , and $$c = 25$$ , and $$\angle A = 15^\circ$$ , find the length of side $$b$$ using the Law of Sines.

Accepted Answer

$$24$$

Answer

$$12$$

Answer

$$18$$

Answer

$$30$$

Question 3

In triangle ABC, if $$\angle A = 45^\circ$$ , $$\angle B = 60^\circ$$ , and $$a = 10$$ , find the length of side $$b$$ .

Accepted Answer

$$12.25$$

Answer

$$8.66$$

Answer

$$11.55$$

Answer

$$14.14$$

Question 4

A triangle has sides $$a = 20$$ , $$b = 30$$ , and $$\angle C = 90^\circ$$ . Find $$\angle A$$ using the Law of Sines.

Accepted Answer

$$33.64\degree$$

Answer

$$41.41^\circ$$

Answer

$$56.31^\circ$$

Answer

$$48.59^\circ$$

Question 5

In triangle ABC, if $$a = 12$$ , $$b = 16$$ , and $$c = 20$$ , and $$\angle A = 36^\circ$$ , find $$\angle B$$ .

Accepted Answer

$$48.59^\circ$$

Answer

$$53.13^\circ$$

Answer

$$60.00^\circ$$

Answer

$$45.00^\circ$$

Question 6

Given a triangle with sides $$a = 9$$ , $$b = 12$$ , and $$\angle C = 120^\circ$$ , find the length of side $$c$$ using the Law of Sines.

Accepted Answer

$$18.97$$

Answer

$$15.59$$

Answer

$$21.22$$

Answer

$$23.43$$

Question 7

In triangle ABC, if $$\angle A = 80^\circ$$ , $$\angle B = 55^\circ$$ , and $$c = 14$$ , find the length of side $$a$$ .

Accepted Answer

$$12.96$$

Answer

$$11.07$$

Answer

$$15.84$$

Answer

$$17.32$$

Question 8

A triangle has sides $$a = 18$$ , $$b = 24$$ , and $$\angle A = 70^\circ$$ . Find $$\angle B$$ using the Law of Sines.

Accepted Answer

$$65^\circ$$

Answer

$$55^\circ$$

Answer

$$60^\circ$$

Answer

$$75^\circ$$

Question 9

In triangle ABC, if $$a = 10$$ , $$b = 20$$ , and $$\angle C = 30^\circ$$ , find the length of side $$c$$ .

Accepted Answer

$$21.54$$

Answer

$$17.32$$

Answer

$$19.08$$

Answer

$$23.09$$

Question 10

Given a triangle with sides $$a = 5$$ , $$b = 7$$ , and $$c = 10$$ , and $$\angle A = 25^\circ$$ , find $$\angle B$$ .

Accepted Answer

$$40.54^\circ$$

Answer

$$34.54^\circ$$

Answer

$$45.00^\circ$$

Answer

$$50.19^\circ$$

Question 11

In triangle ABC, if $$\angle A = 40^\circ$$ , $$\angle B = 70^\circ$$ , and $$a = 8$$ , find the length of side $$b$$ .

Accepted Answer

$$11.28$$

Answer

$$9.68$$

Answer

$$10.39$$

Answer

$$12.15$$

Question 12

A triangle has sides $$a = 14$$ , $$b = 21$$ , and $$\angle C = 110^\circ$$ . Find $$\angle A$$ using the Law of Sines.

Accepted Answer

$$35.26^\circ$$

Answer

$$29.74^\circ$$

Answer

$$40.58^\circ$$

Answer

$$45.00^\circ$$

Question 13

In triangle ABC, if $$a = 13$$ , $$b = 13$$ , and $$c = 13$$ , and $$\angle A = 60^\circ$$ , find $$\angle B$$ .

Accepted Answer

$$60^\circ$$

Answer

$$75^\circ$$

Answer

$$90^\circ$$

Answer

$$120^\circ$$

Question 14

Given a triangle with sides $$a = 8$$ , $$b = 15$$ , and $$\angle C = 45^\circ$$ , find the length of side $$c$$ using the Law of Sines.

Accepted Answer

$$11.79$$

Answer

$$10.61$$

Answer

$$12.99$$

Answer

$$14.14$$

Question 15

In triangle ABC, if $$\angle A = 30^\circ$$ , $$\angle B = 45^\circ$$ , and $$a = 7$$ , find the length of side $$b$$ .

Accepted Answer

$$7.79$$

Answer

$$8.66$$

Answer

$$9.90$$

Answer

$$10.39$$

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