Sin Cos Tan
Pythagorean Theorem
Special Right Triangles
Trigonometry
100
What is the phrase we use to help us remember our Trigonometric Ratios?
SohCahToa
100
How do we write out Pythagorean Theorem?
a2+b2=c2
100
ABCD is a square whose side is 8 units. What is the length of diagonal AC (keep in radical form)?
8 x 21/2
100
A 90-foot escalator rises 28 feet vertically. What is the angle of elevation that the escalator makes with the floor?
18.1 degrees
200
What does the C in Cah stand for?
Cosine
200
What does x equal? (remember your units)
6 cm
200
What are the proportions of a 30-60-90 triangle?
x, x(3)1/2, 2x
200
An 8-foot ladder is placed against a building at an angle of 46˚. How far up the building will the ladder reach?
5.6 feet
300
What ratio is equal to opp/adj
Tangent
300
A carpenter wants to build a handicap ramp over a set of steps that is 12 feet long and 5 feet high. What is the length of the ramp ?
13 feet
300
A brick walkway forms the diagonal of a square playground. The walkway is 23 m long. In simplest radical form, what is the length of one of the sides of the playground?
23 x 21/2 / 2
300
A treasure chest is buried 150 feet under a building. If you start digging 850 feet from the building, at what angle of depression must you dig to reach the chest?
10 degrees
400
Which Trigonometric Ratio should I use to solve for Angle B?
Cosine
400
A baseball diamond is a square with sides of 90 feet. What is the distance, to the nearest feet, between first base and third base?
about 127 feet
400
A ladder leaning against a tree makes a 30° angle with the ground. The base of the ladder is 8 m from the tree. How high up the tree does the ladder go (in simplest radical form)?
8 x 31/2 / 3
400
A hot-air balloon pilot sights the landing field from a height of 2000 feet. The angle of depression is 24˚. To the nearest foot, what is the distance from the hot-air balloon to the landing field?
4917.2 feet
500
Solve for Angle A.
66.4 Degrees
500
The rectangle PQRS represents the floor of a room. Gia stands at point A. What is the calculated distance from Gia ( to the nearest meter) to the corner S of the room?
about 11 m
500
If the hotel's window is 36 feet above the ground and you must place your ladder 60° with the ground. What length of the ladder ( in simplest radical form) is needed to reach the tower window?
24 x 31/2
500
A surveyor measuring the tallest tree in a park is 100 feet from the tree. His angle-measuring device is 5 feet above the ground. The angle of elevation to the top of the tree is 48˚. How tall is the tree?
116.1 feet