The learner will solve for angles in a right triangle using sine, cosine, or tangent.

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

If side a is 3 inches and side b is 7 inches, what is the measure of angle A? Round to the nearest whole number.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

If side a is 3 inches and side b is 7 inches, what is the measure of angle A? Round to the nearest whole number.

question image

Correct Answer

23 degrees

Explanation:

Using the tangent function, angle A = tan-1 (3/7) = 230

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

If side a is 3 inches and side b is 7 inches, what is the measure of angle A? Round to the nearest whole number.

question image

Your Answer

Correct Answer

23 degrees

Explanation:

Using the tangent function, angle A = tan-1 (3/7) = 230

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

If side a is 17 cm and side c is 20 cm, what is the measure of angle A? Round to a whole number.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

If side a is 17 cm and side c is 20 cm, what is the measure of angle A? Round to a whole number.

question image

Correct Answer

58 degrees

Explanation:

The measure of angle A: angle A = sin-1 (17/20) = 580

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

If side a is 17 cm and side c is 20 cm, what is the measure of angle A? Round to a whole number.

question image

Your Answer

Correct Answer

58 degrees

Explanation:

The measure of angle A: angle A = sin-1 (17/20) = 580

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

What is the measure of angle B if side a is equal to 10 feet and side c is equal to 22 feet? Round to a whole number.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

What is the measure of angle B if side a is equal to 10 feet and side c is equal to 22 feet? Round to a whole number.

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Correct Answer

63 degrees

Explanation:

The measure of angle B = cos-1 (10/22) = 63 degrees

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

What is the measure of angle B if side a is equal to 10 feet and side c is equal to 22 feet? Round to a whole number.

question image

Your Answer

Correct Answer

63 degrees

Explanation:

The measure of angle B = cos-1 (10/22) = 63 degrees

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

If side c is equal to 50 meters and side b is equal to 42 meters, what is the measure of angle A? Round to the nearest whole number.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

If side c is equal to 50 meters and side b is equal to 42 meters, what is the measure of angle A? Round to the nearest whole number.

question image

Correct Answer

33 degrees

Explanation:

Angle A = cos-1(42/50) = 330

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

If side c is equal to 50 meters and side b is equal to 42 meters, what is the measure of angle A? Round to the nearest whole number.

question image

Your Answer

Correct Answer

33 degrees

Explanation:

Angle A = cos-1(42/50) = 330

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

If side c is 67 inches and side b is 20 inches, what is the measure of angle A? What is the measure of angle B? Round your answers to the nearest whole degree.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

If side c is 67 inches and side b is 20 inches, what is the measure of angle A? What is the measure of angle B? Round your answers to the nearest whole degree.

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Correct Answer

angle A = 73 degrees; angle B = 17 degrees

Explanation:

Angle A = cos-1 (20/67) = 730; angle B = 900 - 730 = 170

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

If side c is 67 inches and side b is 20 inches, what is the measure of angle A? What is the measure of angle B? Round your answers to the nearest whole degree.

question image

Your Answer

Correct Answer

angle A = 73 degrees; angle B = 17 degrees

Explanation:

Angle A = cos-1 (20/67) = 730; angle B = 900 - 730 = 170

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

Side b is 8 meters and side a is 9 meters. What are the measures of angles A and B? Round your answers to whole numbers.

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Correct Answer

angle A = 48 degrees; angle B = 42 degrees

Explanation:

Angle A = tan-1(9/8) = 480; Angle B = 900 - 480 = 420

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

Side b is 8 meters and side a is 9 meters. What are the measures of angles A and B? Round your answers to whole numbers.

question image

Your Answer

Correct Answer

angle A = 48 degrees; angle B = 42 degrees

Explanation:

Angle A = tan-1(9/8) = 480; Angle B = 900 - 480 = 420

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

If side b is 17 km and side c is 21 km, what are the measures of angles A and B? Round to whole numbers.

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Correct Answer

angle A = 36 degrees; angle B = 54 degrees

Explanation:

Angle A = cos-1(17/21) = 360;  angle B = 900 - 360 = 540

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

If side b is 17 km and side c is 21 km, what are the measures of angles A and B? Round to whole numbers.

question image

Your Answer

Correct Answer

angle A = 36 degrees; angle B = 54 degrees

Explanation:

Angle A = cos-1(17/21) = 360;  angle B = 900 - 360 = 540

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

If side a is 12 inches and side b is 15 inches, what is the measure of angle A? Round to a whole number.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

If side a is 12 inches and side b is 15 inches, what is the measure of angle A? Round to a whole number.

question image

Correct Answer

39 degrees

Explanation:

Angle A = tan-1(12/15) = 390

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

If side a is 12 inches and side b is 15 inches, what is the measure of angle A? Round to a whole number.

question image

Your Answer

Correct Answer

39 degrees

Explanation:

Angle A = tan-1(12/15) = 390

 Next Question
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

What is the measure of angle B? Round to a whole number.

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Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Correct!

What is the measure of angle B? Round to a whole number.

question image

Correct Answer

44 degrees

Explanation:

Angle B = cos-1(50/70) = 440

 Finish
Question 1 of 10

Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

Incorrect

What is the measure of angle B? Round to a whole number.

question image

Your Answer

Correct Answer

44 degrees

Explanation:

Angle B = cos-1(50/70) = 440

 Finish
Question 1 of 10
Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle

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Published
4/21/2014
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4/21/2014
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Using the Sine, Cosine, or Tangent Function to Solve for the Angles in a Right Triangle by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.