Law of Cosines Application / Quiz Review

Find angle Z

• 20.15°

• 71.23°

• 51.06°

• 57.71°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use Law of Cosines to find angle T

• 62.2°

• 53.1°

• 59.5°

• 64.7°

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

Find QR

• 34.7 km
• 2.2 km
• 13.74
• 31.1 km

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

There are 2 boatdocks located along the river where I will be camping. From my campsite, boatdock A is located downstream 4.15 miles and boatdock B is located upstream 5.33 miles. The angle formed at my campsite between these two distances is 80 degrees. What is the distance between the two boatdocks rounded to the nearest tenth.

(a)  

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 on a sand bar in the lake 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 rounded to the nearest hundredth.

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_

_

_

(a)  

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

Two ships leave a port at 4 PM. One is headed at a bearing of N38^oE and is travelling at 11.5 miles per hour. The other is travelling at 13 miles per hour at a bearing of S47^oE. How far apart are they when dinner is served at 6 PM?

• 36.18 miles

• 18.09 miles

• 16.20 miles

• 19.73 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

You are heading to Tynecastle Hwy, but NC-105, which usually gets you there in 12.5 mi, is closed. Your detour begins with an 18^o veer onto a local road. After 6 mi, there is another turn that leads straight to Tynecastle. How many extra miles did the detour add?

• 26.13 miles

• 13.33 miles

• 7.33 miles

• 0.83 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11