Applications of Laws of Sines and Cosines
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered
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20 questions
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1.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
A surveyor at point S locates a rock formation 530 meters away at point P. The surveyor turns clockwise 102 degrees and locates ar ock formation 410 meters away at point R. To the nearest tenth of a meter, what is the distance between the rock formations?
x= (a)
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
OPEN ENDED QUESTION
1 min • 1 pt
A stone wall makes an angle of 51 degrees with the side of your house that is 12 m long. You want to make a back yard play area for your dog by using 10 m of fencing to enclose a triangular region, as shown. At what distance from point C should the fencing be attached to the stone wall? Is there more than one possibility?
First, answer the question:
Is there more than one possibility? Yes or no, and why?
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Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
OPEN ENDED QUESTION
1 min • 1 pt
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CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
OPEN ENDED QUESTION
1 min • 1 pt
Now we know the two possible values for angle A are 68.84 degrees or 111.16 degrees. With that in mind, what are the two possibilities for the measure of angle B?
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CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which Law would you use?
Law of Sines
Law of Cosines
Law of the Jungle
Law of Gravity
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which Law would you use?
Law of Sines
Law of Cosines
Law of the Jungle
Law of Gravity
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
MATH RESPONSE QUESTION
1 min • 1 pt
Use the Law of Sines to solve for side a.
Round your answer to the nearest hundredth.
Mathematical Equivalence
OFF
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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