Applying Sines and cosines Law

Law of sines applies to Right Triangles

• True

• False

Answer explanation

Only to Oblique Ones

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA
• c² = a² - b² - 2abcosC
• c² = a² + b² - 2abcosC
• (cos A)/a = (cos B)/b

Find the area to the nearest tenth.

• A
• B
• C
• D

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?

• 9285.73 ft
• 96.36 ft
• 24061.81 ft
• 155.12 ft

Use the Law of Cosines to find the value of x. 

• 41.7
• 51.7
• 61.7
• 71.7

Find the exact area
of a triangle with two
sides that measure 6 yd
and 2 yd with an included
angle of 10°.

• 1.04 yd²
• 12.0 yd²
• 5.98 yd²
• 3.26 yd²

What are the possible criteria for Law of Sines?

• SSA, ASA, AAS

• AAS, SSS, ASA

• SAS, SSS, ASA

• SAS, AAS, ASA

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

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity