Law of Sines and Law of Cosines Review

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

• 250

• 615

• :)

• Not me

Find angle Z

• 20.145 degrees

• 71.232 degrees

• 51.055 degrees

• 57.713 degrees

Find the area of ABC to the nearest tenth, if necessary. 

• 72.4cm²

• 71.5cm²

• 82.1cm²

• 79.4cm²

Solve each triangle, round to the nearest tenth.

• = 32,a= 11.2 b= 19.8

• = 40 a= 11.2 b= 19.8

• = 32 a= 12.2 b= 19.8

• = 20 a= 11.3 b= 20.0

Joey 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

• 845.01

Which formula would you use?

• Law of Sines

• Law of Cosines

• A=.5bcsinA

• Herons

Which formula would you use?

• Law of Sines

• Law of Cosines

• Herons

• A=.5acsinB

Find the area of ABC to the nearest tenth.

• 62.3 units²

• 124.6 units²

• 77.0 units²

• 100 units²

What is the area of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°?

• 17.8m²

• 14.6m²

• 16.4m²

• 12.9m²

What is the area of a triangle with two sides that measure 5 cm and 8 cm with an included angle of 39°?

• 15.9cm²

• 12.6cm²

• 15.3cm²

• 16.2cm²