Ratios
Special Right Triangles
Finding a missing side
Finding a missing angle
Mystery
100
What is the trigonometric ratio for Sine?
O/H (Opposite/Hypotenuse)
100
True or False: The hypotenuse of a 30-60-90 triangle is twice the length of the shorter leg.
True
100
Using the trigonometric ratio for SIN, find the value of x for the following
3 sin (30) = 3/2 or 1.5
100
Using the trigonometric ratio for COS, find the value of "theta" in this triangle (to 1 decimal place)
cos-1 (5/7) = 44.4 degrees
100
You are given Triangle ABC. AB = 28, AC = 35 and BC = 21. Find the Sin(C)
53.13
200
What is the trigonometric ratio for Cosine?
A/H (Adjacent/Hypotenuse)
200
See board for diagram
A = 4
B = 3
200
Using the trigonometric ratio for COS, find the value of x for the following (to 2 decimal places)
x = 7.2cos(42) = 5.35
200
Using the trigonometric ratio for TAN, find the value of "theta" in this triangle (to 1 decimal place)
tan-1(5/4) = 51.3 degrees
200
A 20-foot pole leaning against a wall reaches a point 18 feet above the ground. What is the angle that the pole makes with
the ground to the nearest degree?
64.16 degrees
300
Use it when you know the two legs.
Tangent
300
Find the perimeter of a square if a diagonal length is 12 feet.
48/√2 feet2
300
Using the trigonometric ratio for TAN, find the value of x for the following (to 1 decimal places)
x = 4tan(52) = 5.1
300
Using the trigonometric ratio for Sin, find the value of "theta" in this triangle (to 1 decimal place)
sin-1(4/6) = 41.8 degrees
300
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is
35 degrees. Find the height of the tree to the nearest foot.
33 feet
400
What is the sin of 45 degrees?
√2/2
400
See the board for diagram
A = 4√3 + 22 ~28.93
B = 8√3
400
find the value of x for the following (to 1 decimal place)
x = 4tan(42) = 3.6
400
find the value of "theta" in this triangle (to 1 decimal place)
cos-1(2/3) = 48.2
400
In Triangle XYZ Angle Y=90, XY=7, YZ=24, and XZ=25, what ratio represent cosx?
24/25
500
What is the tangent of 60 degrees?
3 sqroot of 3
500
See diagram on the board
m = 2.25
500
find the value of x for the following (to 1 decimal place) 
4/sin(32) = 7.5
500
find the value of "theta" in this triangle (to the nearest degree)
cos-1(6/12) = 60 degrees
500
A ship is 50 miles west and 31 miles south of a harbor. What angle should the Captain set to sail directly to harbor?
58.2 degrees