How do you calculate the length of side BC if angle B = 75 degrees, angle A = 78 degrees, and side a = 24?

Use the Law of Sines: $$BC = \frac{24 \times \text{sin}(75)}{\text{sin}(78)}$$ .

What is the sine of angle B if angle B = 75 degrees?

The sine of angle B is: $$\text{sin}(75^\text{o}) \text{ (approximately 0.9659)}$$ .

If side a = 19 and angle A = 41 degrees, how do you find side b?

Use the Law of Sines: $$b = \frac{19 \times \text{sin}(B)}{\text{sin}(41)}$$ .

What is the measure of angle C if angle A = 78 degrees and angle B = 75 degrees?

Angle C can be found using: $$C = 180^\text{o} - A - B = 180^\text{o} - 78^\text{o} - 75^\text{o} = 27^\text{o}$$ .

What is the Law of Sines used for?

The Law of Sines is used to solve for unknown angles and sides in non-right triangles.

What is the relationship between the sides and angles in a triangle?

The sum of the angles in a triangle is always 180 degrees.

If side a = 24 and angle A = 78 degrees, how do you find side c if angle C = 75 degrees?

Use the Law of Sines: $$c = \frac{24 \times \text{sin}(75)}{\text{sin}(78)}$$ .

What is the significance of the Law of Sines in trigonometry?

The Law of Sines allows for the calculation of unknown sides and angles in triangles, making it essential for solving various geometric problems.

Flashcard

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Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.D.10, HSG.SRT.C.6, HSG.CO.C.10

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FLASHCARD QUESTION

Front

What is the Law of Sines?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

FLASHCARD QUESTION

Front

What is the formula to find an unknown side using the Law of Sines?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

FLASHCARD QUESTION

Front

How do you find an angle using the Law of Sines?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

FLASHCARD QUESTION

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Tags

CCSS.HSG.CO.C.10

FLASHCARD QUESTION

Front

What is the measure of angle A if side a = 19, side b = 24, and angle B = 75 degrees?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

FLASHCARD QUESTION

Front

If angle A = 78 degrees, what is the sine of angle A?

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the value of side c if angle C = 75 degrees, side a = 19, and angle A = 41 degrees?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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