Find the Ratio
Right Triangle Trig
Period and Amplitude
Unit Circle
Word Problems
100
What is the hypotenuse of a right triangle with legs 3 and 4?
5
100
What is the amplitude of y=4 sin(x)
4
100
What is the sin of 45 degrees?
sqrt(2)/2
100
At 57" from the base of a building you need to look up at 55° to see the top of a building. What is the height of the building?
200
What is the angle measure between two sides that are 3 and 7 units long?
65 degrees
200
What is the amplitude of 1/3 cos (4x)
1/3
200
What is the cosine of 90 degrees?
0
200
The angle of elevation from a point 43 feet from the base of a tree on level ground to the top of the tree is 30°. What is the height of the tree?
300
What is the period of y = sin(x)
2pi
300
What is the tangent of 60 degrees?
sqrt(3)/3
300
A plane is 30,000 feet off of the ground when it begins its approach to the runway. How far is the plane from the runway if the pilot lowers the nose at an angle of depression of 12 degrees to meet the runway?
400
What is the period of y = 3sin(4x)
pi/2
400
What is the sine of pi/2
1
400
A straight water slide makes a 40° angle with the surface of the water. If the slide is 11.5 meters high, how long is it?
500
What is the amplitude and period of y = 2 tan(x)
Amplitude: None Period: pi
500
What is the cosine of 5pi/3
1/2
500
A person stands at the window of a building so that his eyes are 12.6 meters above the level ground. An object is on the ground 58.5 meters away from the building on a line directly beneath the person. Compute the angle of depression of the person’s line of sight to the object on the ground.