Applications of Laws of Sines and Cosines

Use Law of Cosines to find XZ

• 16.004 meters

• 544.165 meters

• 34.7 meters

• 1204.165 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

Tags

CCSS.HSG.SRT.C.8

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°. (Creates SAS)

• 17.8m

• 14.6m

• 13.0m

• 12.9m

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Parker must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 842.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find angle A

• 53.6

• 13.3

• 113.1

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the area of this triangle to three decimal places?

• 14.494 meters squared

• 108.184 meters squared

• 54.092 meters squared

• 54.350 meters squared

Tags

CCSS.HSG.SRT.D.9

Find m<B to the nearest whole number.

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• y=Sin(x)

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55 degrees, and from Jamie to the bird is 63 degrees. How far away, to 2 decimal places, is the bird from Amanda?

• 25.23 ft

• 23.19 ft

• 22.15 ft

• 20.85 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11