law of sines/cosines

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

Which of the following would you use to solve for x?

• Law of Sines

• Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following would you use to solve for x?

• Law of Sines

• Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following would you use to solve for x?

• Law of Sines

• Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• 240.2 cm²
• 240.3cm²
• 175.6cm²
• 100cm²

Tags

CCSS.HSG.SRT.D.9

Solve each triangle, round to the nearest tenth.

• C= 86 b= 14 c= 9
• C= 86 b= 14.4 c= 8.9
• C = 86 b= 8.9 c= 14.4
• C= 86 b=9 c= 14

Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C

• A= 43°, B= 47°, C= 90°
• A= 70°, B= 50.1°, C= 59.9°
• A= 50.1°, B= 70°, C= 59.9°
• A= 60°, B= 70°, C= 50°

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

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, and from Jamie to the bird is 63. How far away is the bird from Amanda to the nearest hundredth?

• 25.23

• 23.19

• 22.15

• 20.85