Law of Cosines Real World Problems

Mr. Creole must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 4.15 miles from point A and 5.33 miles from Point B. He measures the angle ACB to be 37^o. Find the distance from point A to point B.

• 3.72 miles

• 6.18 miles

• 10.30 miles

• 3.21 miles

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A GPS satellite measures the distances to two buildings to be 370 km and 350 km, and the angle between them to be 2.1^o (see diagram). How far apart are the two buildings?

• 17.90 km

• 30.32 km

• 15.61 km

• 23.96 km

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

• 2.9 miles

• 3.2 miles

• 3.6 miles

• 3.9 miles

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

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CCSS.HSG.SRT.C.8

Which Law would you use to solve for Angle B?

• Law of the Jungle

• Law of Cosines

• Law of the Gravity

• Law of Sines

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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

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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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• 12.7

• 13.1

• 13.6

• 14.2

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11