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=___________

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use the Law of Sines to solve for side a.

Round your answer to the nearest hundredth.

Mathematical Equivalence

OFF

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side b.

Round your answer to the nearest hundredth.

Mathematical Equivalence

OFF

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use? (a)  

• Law of Sines

• Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use law of Sines to find side c.

Round your answer to the nearest hundredth

Mathematical Equivalence

OFF

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11