Exploring the Application of the Law of Cosines

What is the constant speed of the pilot during the flight?

• 450 miles per hour

• 675 miles per hour

• 900 miles per hour

• 172 miles per hour

Tags

CCSS.3.MD.A.1

How long did the pilot fly in the first direction?

• 2.5 hours

• 1.5 hours

• 1 hour

• 2 hours

Tags

CCSS.4.MD.A.2

What is the total distance traveled in the first direction?

• 900 miles

• 450 miles

• 675 miles

• 1571 miles

Tags

CCSS.4.MD.A.2

By how many degrees did the pilot adjust her course?

• 450 degrees

• 180 degrees

• 172 degrees

• 8 degrees

Tags

CCSS.4.MD.C.7

What is the angle inside the triangle formed by the flight path?

• 180 degrees

• 172 degrees

• 8 degrees

• 90 degrees

Tags

CCSS.8.G.A.5

What does the angle of 172 degrees represent in this problem?

• The total degrees of a circle minus the correction angle

• The internal angle of the flight path triangle

• The angle of speed

• The course correction angle

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Which formula is used to calculate the distance from the starting point?

• Quadratic formula

• Pythagorean theorem

• Law of Cosines

• Law of Sines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the first step in applying the Law of Cosines to find the distance?

• Multiply the distances by 2

• Subtract the cosine of the angle

• Square the distances

• Add the squared distances

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the significance of using the square root in the final step?

• To find the maximum distance

• To calculate the speed

• To convert miles to kilometers

• To determine the actual distance

Tags

CCSS.8.G.B.8

What is the approximate distance the plane traveled from the starting point?

• 675 miles

• 900 miles

• 2468800.7 miles

• 1571 miles

Tags

CCSS.5.MD.A.1