How to use law of sines when you have one solution

How to use law of sines when you have one solution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a triangle problem using the law of sines. It begins with converting degrees and minutes into decimal form, then applies the law of sines to find unknown angles and sides. The process involves calculating angle A using known side lengths and angles, followed by determining angle C by subtracting the known angles from 180 degrees. The tutorial concludes with a final calculation to find the remaining side length, emphasizing the importance of accurate calculations and understanding the law of sines.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert 15 degrees and 30 minutes into decimal form?

15.15 degrees

15.05 degrees

15.3 degrees

15.5 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the law of sines formula used in this context?

a/sin(B) = b/sin(A) = c/sin(C)

a/sin(A) = b/sin(C) = c/sin(B)

a/sin(A) = b/sin(B) = c/sin(C)

a/sin(C) = b/sin(B) = c/sin(A)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is used to find an angle from its sine value?

Cosine function

Inverse sine function

Inverse cosine function

Tangent function

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the third angle of a triangle if two angles are known?

Divide the two angles

Multiply the two angles

Subtract the two angles from 180

Add the two angles

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of angle A calculated in the video?

11.03 degrees

15.5 degrees

10.19 degrees

154.31 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in using the law of sines to find an unknown side?

Add all sides

Use the cosine rule

Cross-multiply and divide

Subtract known sides

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated length of side C in the triangle?

15.5

11.03

6.8

4.5