Vocabulary
Sin/Cos/Tan
Inverse Sin/Inverse Cos/ Inverse Tan
Special Right Triangles
Angle of Elevation/Depression
100
This trig function is used when you know the opposite side of and angle and the hypotenuse of a right triangle.
What is sine or inverse sine?
100
The sine of angle A.
What is
10/26 = 5/13 = 0.38 ?
100
The measure of angle A
What is 23 degrees?
100
The side length of AB
What is 2?
100
What is the height (to the nearest hundredth) that a 20 foot ladder can reach safely if the ladder makes a 75 degree angle with the ground.
19.32 ft
200
This trig function is used when you know the adjacent side of and angle and the hypotenuse of a right triangle.
What is cosine or inverse cosine?
200
The cosine of angle C.
What is
10/26 = 5/13 = 0.38 ?
200
The measure of angle C
What is 67 degrees?
200
The side length of AC
What is
2 sqrt(2) ?
200
What is the distance above sea level (to the nearest tenth) after a plane ascends from 1 mile at a 3 degree angle for 60 ground miles.
4.1 mi
300
This trig function is used when you know the opposite side of and angle and the adjacent side of the same angle of a right triangle.
What is tangent or inverse tangent?
300
The tangent of angle A
What is
10/24 = 5/12 = 0.42 ?
300
The measure of angle A and angle B
What is 28 degrees (A) and 62 degrees (B)?
300
The side length of CB and AB in simple radical form
What is AB: 6 and CB:
3 sqrt(3) ?
300
What is the angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.
23 degrees
400
In this right triangle the side lengths have the relationship of x and
x sqrt(2)
What is a 45-45-90 right triangle?
400
The sine, cosine and tangent of angle A.
What is 8/17 = 0.47 (sine), 15/17 = 0.88 (cosine), and 8/15 = 0.53 (tangent)?
400
The measure of angle B
What is
sin^-1(x/z);cos^-1(y/z);tan^-1(x/y) ?
400
The side length of AC and BC
What is
3 sqrt(2) ?
400
What is the angle of depression (to the nearest tenth) of a sledding run 300 yards long with a vertical drop of 27.6 yards.
5.3 degrees
500
In this right triangle the side lengths have the relationship of x, 2x and
x sqrt(3)
What is a 30-60-90 right triangle?
500
The sine, cosine and tangent of angle A and angle B
What is y/z (sine), x/z (cosine) and y/x (tangent) for angle A and x/z (sine), y/z (cosine) and x/y (tangent) for angle B?
500
The measure of angle A
What is
sin^-1(y/z);cos^-1(x/z);tan^-1(y/x) ?
500
The side lengths of AB and AC
What is
CA = 2 sqrt(3) and AB = 4 sqrt(3) ?
500
What is the length of a ski run (to the nearest foot) with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees.
2663 ft