Common Core: High School - Geometry : Apply Laws of Sines and Cosines: CCSS.Math.Content.HSG-SRT.D.11

Study concepts, example questions & explanations for Common Core: High School - Geometry

varsity tutors app store varsity tutors android store

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 83 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1

Example Question #1 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot1

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 11 for B , 71 for A and 179 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #2 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot2

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 18 for B , 66 for A and 78 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #3 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

 

 

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot3

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 32 for B , 82 for A and 95 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #4 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

 

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot4

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 3 for B , 81 for A and 182 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #5 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

 

 

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot5

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 29 for B , 108 for A and 131 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #6 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where,  , , and .

 

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot6

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 27 for B , 120 for A and 116 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #7 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot7

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 27 for B , 123 for A and 111 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #8 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot8

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 15 for B , 97 for A and 100 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #9 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot9

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 16 for B , 43 for A and 109 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

Example Question #10 : Apply Laws Of Sines And Cosines: Ccss.Math.Content.Hsg Srt.D.11

To the nearest hundredth, solve  where, , , and .

 

Possible Answers:

Correct answer:

Explanation:

The first step is to create a picture

Plot10

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 2 for B , 79 for A and 99 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

← Previous 1

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 83 Practice Tests Question of the Day Flashcards Learn by Concept
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: