What are the three trig functions were have learned?
100
The angle between a horizontal line looking down to an object.
What is the angle of depression?
100
It is a quantity with magnitude and direction.
What is a vector?
100
s, s, s (square root)2
What is the side relationship for a 45-45-90 degree triangle?
200
The sum of the legs squared equal the hypotenuse squared.
What is the Pythagorean theorem in words?
200
opposite / hypotenuse
What is the sine ratio?
200
This is the angle between a horizontal line looking up at an object.
What is angle of elevation?
200
We used the distance formula to calculate this from the initial point to the terminal point in vectors.
What is magnitude or speed?
200
The side relationship of the 30-60-90 triangle?
What is s, 2s, s(square root)3
300
Used to find a missing side measure in a right triangle given two sides.
What is the Pythagorean Theorem?
300
adjacent/hypotenuse
What is the cosine ratio?
300
A surveyor is 200 ft from a building. This theodolite is 5 feet tall. The angle of elevation to the top of the building is 35 ft. This is the height of the building to the nearest foot.
What is 145 ft?
300
The is the starting point and ending point of a vector.
What is initial point and ending point?
300
If one of the legs of a 45-45-90 degree triangle is 10. This is the length of the hypotenuse.
What is 10(square root)2?
400
Two legs of a right triangle are 9 and 12. This is the hypotenuse.
What is 15?
400
opposite/adjacent
What is the tangent ratio?
400
An airplane is 3500 ft above ground. It begins a 2 degree descent to an airport. This is how many miles the airport is from the airport when it starts its descent to the nearest mile.
What is 19 miles?
400
This vector is 60 degrees to the right of the positive y-axis. This is the compass direction.
What is 60 degrees west of north?
400
The longer side of a 30-60-90 triangle is 10. These are the measures of the other two sides.
What is 10(square root)3/3 and 20(square root)3/3?
500
A leg of the right triangle is 8 and the hypotenuse is 14. This is the other leg in reduced radical form.
What is 2 (square root 33)
500
George is 125 ft from a tree and he measured a 32 degree angle from the ground to the top of the tree. This is the height of the tree to the nearest foot.
What is 78 ft?
500
A man with his eyes 6 ft off the ground stands 12 ft from a tree. If the tree is 54 ft tall, this is the angle of elevation to the nearest degree.
What is 76 degrees?
500
A boat sailed 12 miles east and 9 miles south. This is another way to describe this vector. Need magnitude and angle.
What is 15 miles about 37 degrees south of east?
500
The distance from one corner to the opposite corner of a square playground is 96 ft. This is the length of each side of the playground to the nearest foot.