Equations and Formulas
Vocabulary
7.1-7.2
7.3-7.4 Day 1
7.4 Day 2-7.5
100
What is the Law of Sines?
100
Quantities involving magnitudes
What are scalars?
100
The acronyms for the four types of oblique triangles
What are SAS, ASA, SAA, and SSS?
100
The solution for ΔABC given A = 41.4°, b = 2.78 yds, and c = 3.92 yds.
What is a = 2.60 yds, B = 45.1°, and C = 93.5°?
100
The magnitude of the resultant force of forces 75.6 and 98.2 newtons that form an angle of 82°50'.
What is |v| = 131 N?
200
The formula for the area of a triangle when a, b, and C is given.
What is 0.5absinC?
200
A representation of a vector quantity; a directed line segment
What are vectors?
200
The area of ΔABC given: C = 72.2°, b = 43.8 ft, and c =35.1 ft
What is 732 feet squared?
200
Solve ΔABC given a = 28 ft, b = 47 ft, and c = 58 ft.
What is C = 98°, A = 29°, and B = 53°?
200
The x- and y-components of v (to three decimal places), written as an ordered pair given θ = 75° and |v| = 100.
What is ⟨25.882, 96.593⟩?
300
What is the Law of Cosines?
300
The first letter of the vector name, the starting point of the vector
What is the initial point?
300
The possible triangles for ΔABC given b = 60, a = 82, and B = 100°.
What is no triangle is possible for the given parts?
300
The area of ΔABC given a = 22 in., b = 45 in., and c = 31 in.
What is 310 inches squared?
300
u + v given u = ⟨4, 3⟩ and v = ⟨-2, 1⟩.
What is ⟨2,4⟩?
400
The magnitude of a vector u = ⟨a, b⟩.
What is: |u| = √a2+b2?
400
The second letter of the vector name, the ending point of the vector
What is the terminal point?
400
The solution for ΔABC if C = 88.70°, c = 112.4 yd, and b = 56.87 yd.
What is B = 30.39°, A = 60.91°, and a = 98.25 yds?
400
The magnitudes of the horizontal and vertical components of v, if α is the angle of inclination of v from the horizontal given α = 20° and |v| = 50.
What is |x| = 47 and |y| = 17?
400
The force required to keep a 3,000 pound car parked on a hill that makes an angle of 15° with the horizontal.
What is 780 pounds?
500
a = |u| cos θ
b = |u| sin θ
What are horizontal and vertical components?
500
2 vertical bars, similar to absolute value symbol
What is the notion of magnitude for a vector?
500
The number of triangles ABC possible with the given parts: a = 35, b = 30, and A = 40°.
What is one possible triangle?
500
The magnitudes of the horizontal and vertical components of v, if α is the angle of inclination of v from the horizontal given α = 35°50' and |v| = 47.8.
What is |x| = 38.8 and |y| = 28.0?
500
The angle a hill makes with the horizontal when a force of 15 pounds is required to push a 75 pound crate up a hill.
What is 12°?