Law of Sines and Law of Cosines

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

• 845.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the area of the triangle

• 72 meters squared
• 8.8 meters squared
• 18.09 meters squared
• 70.2 meters squared

Tags

CCSS.HSG.SRT.D.9

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

The tallest trees in the world grow in Redwood National Park in California; they are taller than a football field is long. Find the height of one of these trees, given the information in the figure.

• 424.63 ft

• 343.04 ft

• 375.66 ft

• 401.45 ft

Two roads intersect at an angle of 52° with a field in between. A girl is walking on one of the roads 1.5 miles from their intersection. Her house lies 0.85 miles from the intersection along the other road. If she cuts across the field to her house, how much walking mileage will she save?

• 2.35 miles

• 1.8 miles

• 0.75 miles

• 1.17 miles

Which movie is this from?

• Back to the Future
• Stand by Me
• Space Balls
• Return of the Jedi

Calculate the length of AC.

• 30
• 24
• 27
• 35

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the area of Triangle ABC if C = 66°, c = 10 cm and b = 6 cm.

• 29.61 cm²

• 33.24 cm²

• 45.04 cm²

• 52.59 cm²

Tags

CCSS.HSG.SRT.D.9