Vocabulary
Sin/Cos/Tan and inverse
Obtuse, Acute,right
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 = 22.6 deg
100
Classify the triangle with the given side length ACUTE, OBTUSE ,RIGHT ,OR NOT A TRIANGLE
20,21,29
RIGHT
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 = 67.4deg
200
Classify the triangle with the given side length ACUTE, OBTUSE ,RIGHT ,OR NOT A TRIANGLE
5,9,10
ACUTE
200
The side length of AC
What is
2 sqrt(2) ?
200
A plane takes off from sea level and climbs at an angle of 3°. The plane travels 60 miles along the ground.
How high above sea level is the plane after the climb?
(Round your answer to the nearest tenth.)
3.1 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 = 22.6 deg
300
The me
Classify the triangle with the given side length ACUTE, OBTUSE ,RIGHT ,OR NOT A TRIANGLE
17,17,22
ACUTE
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 L and
L sqrt(2)
What is a 45-45-90 right triangle?
400
The sine, cosine and tangent of angle A.
What is 8/17 = 28.1 d (sine), 15/17 = 28.1d (cosine), and 8/15 = 28.1d (tangent)?
400
Classify the triangle with the given side length ACUTE, OBTUSE ,RIGHT ,OR NOT A TRIANGLE
16,21,28
OBTUSE
400
The side length of AC and BC
What is
3 sqrt(2) ?
400
A person is standing on a hill 50 feet above the base of a building. They are 200 feet horizontally from the base of the building. The top of the building forms an angle of elevation of 30° from the person’s position.
What is the total height of the building above the ground?
(Round your answer to the nearest tenth.)
165.5 ft
500
In this right triangle the side lengths have the relationship of L, 2L and
L 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
Classify the triangle with the given side length ACUTE, OBTUSE ,RIGHT ,OR NOT A TRIANGLE
3,15,18
NOT A TRIANGLE
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