Law of Cosines

Find QR

• 34.7 km
• 2.2 km
• 13.74
• 31.1 km

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Clint is building a wooden swing set for his children.  Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle.  To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings.  How far apart should the footings for each A-frame be?

• 5.461 feet
• 9.743 feet
• 6 feet
• 7.65 feet

Tags

CCSS.8.G.B.8

Find BC

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Tags

CCSS.HSG.SRT.D.9

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

Tags

CCSS.HSG.SRT.D.9

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find m<C

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find angle Z

• 20.145 degrees

• 71.232 degrees

• 51.055 degrees

• 57.713 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11