Law of sine and cosine word problems

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

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

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°. (Creates SAS)

• 17.8m

• 14.6m

• 13.0m

• 12.9m

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

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?

• 25.23
• 23.19
• 22.15
• 20.85

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

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

Farmer Chuck Norris needs to enclose a triangular field along a river. One side of fencing is already in place, and Farmer Chuck has 40 feet of fence for the open side. How far away from point A (along the river) can Farmer Chuck put the fence?

• 23.4 feet

• 85.3 feet

• 39.3 feet

• 51.3 feet

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25^o.  What is the length of the Spencer’s run (his trip down the hill)? 

• 3216.76 feet
• 633.93 feet
• 699.46 feet
• 3549.30

Tags

CCSS.HSG.SRT.C.8